{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example, we compare Scrublet predictions to \"ground truth\" doublet calls made by Demuxlet, a method that uses genotype information to demultiplex data and identify doublets. We also test two different methods of data normalization (upstream of Scrublet) to see which produces better doublet predictions.  \n",
    "\n",
    "For more information on Demuxlet, see the paper:  \n",
    "Kang, H. M. et al. Multiplexed droplet single-cell RNA-sequencing using natural genetic variation. Nat. Biotechnol. (2017). [doi:10.1038/nbt.4042](https://www.nature.com/articles/nbt.4042)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import scrublet as scr\n",
    "import scipy.io\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import time\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Download and uncompress data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2018-07-16 16:39:54--  https://kleintools.hms.harvard.edu/tools/scrublet/data/demuxlet_PBMCs.tar.gz\n",
      "Resolving kleintools.hms.harvard.edu (kleintools.hms.harvard.edu)... 134.174.150.16\n",
      "Connecting to kleintools.hms.harvard.edu (kleintools.hms.harvard.edu)|134.174.150.16|:443... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 19294450 (18M) [application/x-tar]\n",
      "Saving to: ‘demuxlet_PBMCs.tar.gz’\n",
      "\n",
      "demuxlet_PBMCs.tar. 100%[===================>]  18.40M  6.23MB/s    in 3.0s    \n",
      "\n",
      "2018-07-16 16:39:57 (6.23 MB/s) - ‘demuxlet_PBMCs.tar.gz’ saved [19294450/19294450]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "!wget https://kleintools.hms.harvard.edu/tools/scrublet/data/demuxlet_PBMCs.tar.gz\n",
    "!tar xfz demuxlet_PBMCs.tar.gz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Load counts matrix, gene list, and demuxlet calls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dir = './demuxlet_PBMCs/'\n",
    "E = scipy.sparse.load_npz(data_dir + 'GSM2560248_matrix.npz')\n",
    "genes = np.array(scr.load_genes(data_dir + 'GSM2560248_genes.tsv', column=1))\n",
    "demuxlet_table = pd.read_table(data_dir + 'demuxlet_calls.tsv')\n",
    "demuxlet_calls = np.array(demuxlet_table['Call']) == 'DBL'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate doublet scores\n",
    "We'll compare two preprocessing strategies that differ only in the gene-level normalization (scaling) prior to PCA:\n",
    "z-score and log"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# filtering/preprocessing parameters:\n",
    "min_counts = 3\n",
    "min_cells = 3\n",
    "vscore_percentile = 85\n",
    "n_pc = 30\n",
    "\n",
    "# doublet detector parameters:\n",
    "expected_doublet_rate = sum(demuxlet_calls) / float(len(demuxlet_calls))\n",
    "sim_doublet_ratio = 2\n",
    "n_neighbors = 50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulating doublets\n",
      "Total counts normalizing\n",
      "Finding highly variable genes\n",
      "Filtering genes from 35635 to 1345\n",
      "Applying z-score normalization\n",
      "Running PCA\n",
      "Building kNN graph and calculating doublet scores\n",
      "Elapsed time: 15.6 seconds\n"
     ]
    }
   ],
   "source": [
    "# z-score normalization\n",
    "\n",
    "t0 = time.time()\n",
    "\n",
    "scrublet_results_zNorm = scr.compute_doublet_scores(\n",
    "    E, \n",
    "    min_counts = min_counts, \n",
    "    min_cells = min_cells, \n",
    "    vscore_percentile = vscore_percentile, \n",
    "    n_prin_comps = n_pc,\n",
    "    scaling_method = 'zscore',\n",
    "    expected_doublet_rate = expected_doublet_rate,\n",
    "    sim_doublet_ratio = sim_doublet_ratio,\n",
    "    n_neighbors = n_neighbors, \n",
    "    use_approx_neighbors = True, \n",
    ")\n",
    "\n",
    "t1 = time.time()\n",
    "print('Elapsed time: {:.1f} seconds'.format(t1 - t0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulating doublets\n",
      "Total counts normalizing\n",
      "Finding highly variable genes\n",
      "Filtering genes from 35635 to 1345\n",
      "Applying log normalization\n",
      "Running PCA\n",
      "Building kNN graph and calculating doublet scores\n",
      "Elapsed time: 14.5 seconds\n"
     ]
    }
   ],
   "source": [
    "# log normalization\n",
    "\n",
    "t0 = time.time()\n",
    "\n",
    "scrublet_results_logNorm = scr.compute_doublet_scores(\n",
    "    E, \n",
    "    min_counts = min_counts, \n",
    "    min_cells = min_cells, \n",
    "    vscore_percentile = vscore_percentile, \n",
    "    n_prin_comps = n_pc,\n",
    "    scaling_method = 'log',\n",
    "    expected_doublet_rate = expected_doublet_rate,\n",
    "    sim_doublet_ratio = sim_doublet_ratio,\n",
    "    n_neighbors = n_neighbors, \n",
    "    use_approx_neighbors = True, \n",
    ")\n",
    "\n",
    "t1 = time.time()\n",
    "print('Elapsed time: {:.1f} seconds'.format(t1 - t0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Get UMAP embedding to help visualize the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# UMAP: https://github.com/lmcinnes/umap\n",
    "import umap\n",
    "\n",
    "embedding_zNorm = umap.UMAP(n_neighbors=10).fit_transform(scrublet_results_zNorm['pca_observed_cells'])\n",
    "embedding_logNorm = umap.UMAP(n_neighbors=10).fit_transform(scrublet_results_logNorm['pca_observed_cells'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Set doublet score threshold and visualize results\n",
    "To call doublets, manually set a threshold between the two peaks of the simulated doublet histogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1181/14619 = 8.1% of cells are predicted doublets.\n",
      "53.1% of doublets are predicted to be detectable.\n",
      "Predicted overall doublet rate = 15.2%\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# z-score normalization\n",
    "score_threshold_zNorm = 0.28\n",
    "fig, axs = scr.plot_scrublet_results(embedding_zNorm, \n",
    "                                     scrublet_results_zNorm['doublet_scores_observed_cells'], \n",
    "                                     scrublet_results_zNorm['doublet_scores_simulated_doublets'], \n",
    "                                     score_threshold_zNorm, \n",
    "                                     order_points = True, \n",
    "                                     marker_size = 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the log-normalized version, the simulated doublet score histogram is less bimodal. Set the threshold to cut off the left tail."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1838/14619 = 12.6% of cells are predicted doublets.\n",
      "87.6% of doublets are predicted to be detectable.\n",
      "Predicted overall doublet rate = 14.4%\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# log normalization\n",
    "\n",
    "score_threshold_logNorm = 0.2\n",
    "fig, axs = scr.plot_scrublet_results(embedding_logNorm, \n",
    "                                     scrublet_results_logNorm['doublet_scores_observed_cells'], \n",
    "                                     scrublet_results_logNorm['doublet_scores_simulated_doublets'], \n",
    "                                     score_threshold_logNorm, \n",
    "                                     order_points = True, \n",
    "                                     marker_size = 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare predicted doublets to \"ground truth\" demuxlet calls on UMAP embedding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VVezatYupU6cGHjDDwsJ6uokiIkHh4MGDbNu2jSFDhvTIdpONjY0Kzk8RCtBFjqChoYGGhgbi4+M7zQ5cWlpKVVUVVVVVx1TvoUOHWLhwIQCPP/44w4cPB/xvSa21ykQsIqccn89HRUUFsbGxhISEdDju9XoDiY0OV11dzaJFixg5ciTf+c532h3bsmULTz75JDU1Nbjdbm666SZuvPFGwD+KLiJyKqqpqcFaS79+/To9XlBQQE1NDVlZWT1yPZ/P1yP1SO9TgC7ShcLCQrZu3QqAMYa5c+fSr18/mpqaqKqqIj8/nwEDBnS7vhUrVvDEE09wzTXXcOONNxIbG0t9fT2xsbGBMh6Ph3379mltkIicUpqbm/noo48Cn8eMGUN6ejpOp5ODBw9SUlJCXV0diYmJne5OsWXLFrZv387WrVv55je/2W6UZ9WqVRw8eDDw2e12B/7evHkz8+fPx+Fw9NKdiYj0vDVr1gT6wujoaDIzM4mIiKCmpobq6moKCgpIS0tj//79PXbNsrIyamtrtb3aKUABukgXcnJyAn9ba1mxYgUhISE0NzdjrQX8I+HdlZ2djc/nCzyA/vnPf8Za22G60ebNmxWgi8gp5fDtJHfu3ElOTg4RERE0NDQA/hedCQkJnZ4/c+ZMLrnkEoYPH96hT7zhhhsCL0fr6uoCo+fWWoqLiyktLVWCOBE5pbR9UVlbW8uSJUva9ZdA4FmzJ61fv55zzz23x+uVnqUAXaQLEydOZOPGjYD/wdJai8fjaVfG6/Xicrm6Nc3ylltuIT09nalTpwIcccRn7dq1zJgxQ6NCInJKSExMxOFw4PP5cDqdgfWShz9sth0J9/l8FBYWMnjwYMLDw/ne977Xad1xcXHcdNNNHb5/6qmnWLp0KT/4wQ94+OGH281GEhEJZoMHD2bv3r3tvmvbX8KxDQJ1V21tLTk5OYwZM6bH65aeo6d/kU54vV6MMXg8HtauXUtNTU2HdeGtn7u7BjIiIoL4+Hhee+01Kioqjli2tLQ0kBFeRCTY1dbWBtZRtubR6OwFY9sRob/+9a/ce++9PPXUUzQ3N3Pvvfdy6623tsvp8dFHH/HOO+90unayrKwMh8PBgQMHOjzoiogEq6amJmJiYtp917a/NMb0ai6ivLy8XqtbeoZG0EUO4/V6Wbt2LQcPHuT111/n73//O2PHjuXpp59u93YzIyODTZs2HVPdzzzzDBUVFQwcOJAbb7wRj8eDy+XCWktdXR0AMTExjBo1iqioqB69LxGRntY6zXzz5s2B4Nvn8xEVFRXo08Dfr4WEhLR7OelwOALLfOrq6sjPz8fhcFBSUkJcXBzl5eU899xzOBwOJk6cyLhx49pd+6c//Sm5ubnMnj2bESNGnJwbFhE5AW63m2XLlrXLpQHtX15aa5k6deoxP2N215QpU3qlXuk5CtDljOd2uwkJCcEYw5YtW9izZ0/gWGpqKl6vl9TUVIwxpKSkUFxcDMC+ffs6PIQezQ033MCnn37Ktm3beOyxx1i1ahXDhw9n3759NDY2EhISwosvvsgVV1zR4/cpInKiWqeuO51OqqurWb58eafl6urqGD16NLm5uWzevJmkpCQmT57crswtt9zCueeeS0pKCk6nkyuuuIKdO3cG1pPHx8cza9YsamtrSU9PB/yzi379618za9YsbrjhBjIyMpg7dy7h4eG9d9MiIsehdWlkaGgo1lqWL1/e5bT1gQMH4na7Ay8xS0pKCA0N7RDIn6j09HRSU1N7tE7peQrQ5YzRugVQZGQkJSUlDBo0iIKCAvLz87s858ILL2T+/PmEhYVRX1/fbtp5aWlp4G9rLVlZWURGRga2TOvMpZdeSlxcHIsWLcLr9eJ0OsnPz2838lRfX09zczMul/71FJG+07oFUGNjI16vl9DQUBYuXMiUKVO6NWK9c+dOtm7dysMPP4wxhjfeeIPQ0FBycnKoq6tj2rRpDB48OFD+o48+orm5mdWrV3PppZfidDp56KGH2tX52muvsWvXLnbt2sV1112H0+mksrKS5OTkHr9/EZHu8ng8VFdXB54xhwwZwpo1a6isrOzW+SUlJe2mtfdk9va2emNdu/Q8RQBy2rPW8uWXX7ZLTgSwffv2bp0fHh4eSBJ3uNYR9DfeeIM33ngDYwyPP/44o0eP7rK+0aNHM2vWLEaPHk1aWhoHDhxg9erVzJ49m3HjxrFkyRJiY2M7TYokItKbrLVUVVWxcuXKDsfefvttXnvtNRISEnj55Ze7rKM1WRz4R8GNMQwYMACn00ltbS0/+clPMMawaNEiRo0aRXV1Na+99hrnnXceBw8e5Kyzzuqy7gULFrBs2TIGDhyIw+Fg5cqVvPvuu/zhD38gIiLixH8AEZFuan0u/PTTTzuMdHf3GbOz+lr169evxwPqiooKqqqqiIuL69F6pWcpQJfT2ubNm/nss89YuXIl//qv/3pcHdLo0aMpKyvr9C1o6/T21mmfAKGhoYB/2yGHw0H//v3bnfPjH/+YgwcPcv755zNr1iwArrrqKgA+++wz/va3v/Hee+8pQBeRk6qysrLTwLzVlClT+Oc//8nZZ5/dZZnExESSk5PZsmULAGlpabz55ps4nU4cDgdhYWHExsZSWVlJTk4Oo0aN4rPPPuPjjz8mJiaG119/HYDXX3+dpUuX8uCDDzJs2LB2bfj73/8eeGm6aNEinE4nCxYs4Oabb+6hX0JE5MistSxbtoza2trjrqM1v0Z2dnaHXYKg90a7t2zZcsR+XPqeAnQ5bRUWFlJUVMQTTzxBSUkJTqeTb33rW90+3+VyMWfOHOrr6wPT2Z1OJ06nkwEDBgTWogPcfPPNzJgxg8TERAYMGMCBAwf493//dxwOB3/+858D2Y0BQkJCsNZ2OoX9xhtvZNmyZdqjUkROqsbGRr788ssjlhkzZgx/+ctfujw+atQo0tPTyc7ODmQkttaSlpZGWVkZPp+PkJAQZs2axQcffMAHH3zAFVdcwezZs1m5ciXz588P1PXxxx9TVVXFhg0b2gXo8H87aAwdOpQ77rhD+/qKyEm3efPmEwrOY2JimDNnDkVFRYSGhuLxeHA4HERERBAeHt5h1ueJCg0NZcSIERQWFgZyekjwUoAupyW3283WrVsBuOKKK/jwww+ZO3cuAOPGjSMpKYnm5maqq6uJjY2lsbGRxsZGkpKSWLlyJW63m4EDB3LxxRdjjOEnP/kJDocDr9eLz+dj1KhRVFRUsH//fr766ivOOuusdhmGWx8gfT5fu9F18O/de+jQIZKSkgLfbdmyhezsbH74wx/2WtZOEZGuZGVldeirwD9FfcyYMYSGhlJbW4vX6yU2NpbS0lIGDhxIXl4eRUVFREZGArB06dIOI0Hh4eGMGTOG7OxsAK699loaGhq48MILAUhJSeHJJ59sd85PfvITNm7cyKWXXtplm2tra3n++ed7dTsiEZHDHTp0iH379nV6bMqUKcTHx9PU1MShQ4cYMGAAFRUVOJ1OIiIiWLNmTWD3ikmTJpGRkcEtt9wC/F8eorlz5/LJJ5/0aJvdbjcpKSna8eIUYTpbV9uVGTNm2PXr1/dic0R6xoYNGzpNsLFgwYJur1NctmwZF1xwAc3NzUycOJGHH36YyMhIJkyYwODBg3nvvfe45ZZbqK+v56qrruLWW28NnJuTk8PChQux1nLbbbdx9dVXd3mdpqYmrrvuOqy1hISEUFRU1C54l5PLGLPBWjvjROtRfymniubmZj766KMO30dHRx/TyPSnn35KU1NTu++GDh3K6NGjMcawatWqTkecdu7cyS9/+UtcLhd33HEHs2fP7vY1x44dy8iRI7tdXnqe+kw503zyySedZlc/lh14nnzySe6//34cDgcXX3wxd955JzExMYwfP57ExERyc3PJyclpd87Bgwf57//+b84555wOu2J0R2hoKBdddNExnyc9p7v9peNkNEbkZKupqeE///M/efbZZ7HWEh8fz4gRI44pidD8+fO59957cTgcZGdnU1ZWxsyZMxk8eDBut5sbb7yR2tpafD4fOTk5/OlPfwqMQC1evDiQ7OPll1/mgQce6JBUKT4+ntmzZ5OcnMy4ceMwxhAZGUlYWFjP/RAiIkdx+INmVFQU/fv3Z86cOcdUz/Tp0wM5OIwxDBkyhEmTJhEWFsbatWu7nA66YcMGqqqqKC8v59FHH+X73/9+p2svzzrrrA4JONVfisjJVlxczI9+9CPef/99AGJjY8nIyDimOm699dZA/qEPP/yQiIgIZs2aRWJiIhUVFR2Cc4B//vOffPLJJzz99NNHrX/48OFkZmYG+mSg3d8S3DTFXU47e/fu5bPPPmPdunUAPPzww4FkbMfC4XCwaNEiUlNTaW5u5o477ghMpTxw4ACNjY2A/0E0OzubHTt2cN555zFixAiuvvpqPv7448AU96ysLLZt28bPfvYz+vfvH9gj2Ol0Mn36dN5//32io6OJiYkJTBUVEeltXq+3XYDucDg499xzj2vaeP/+/Zk1axZ79+7t8EL0SMmOrrzySvLz8wNr4Pfs2cPOnTuZPXs2GRkZlJaWMmTIEGJjY0lISCAqKiqQgFMBuoicTDt27OCvf/0r2dnZ5ObmsmjRIuLj44+5ntjYWN544w0eeeQRpk6dyoIFCwLHSkpK2pX95JNPKC0tZe7cuWzatImLL7640zqnTJlCQ0MDLpeLYcOGYYxh9uzZlJWVMXDgQO10cQpRgC6nBWst69atw+FwkJmZibUWYwwxMTFkZmYed73GGO6+++4O36elpfHqq6/y85//nIKCgsD3TqcT8K8pb7t8ZNy4cSxYsIBJkyYFyrQKCwvTmiAROakaGhrweDysX7+e+vr6wPcZGRkntKY7NjaW2NjYDt/PmDGD7OxsampqOhwLDQ1l7dq1gc+pqalkZGQwceJEBg4cyMCBAwPHjDGkpqYed/tERI6Vx+Phyy+/ZO/evdxyyy04HA6MMWRkZBxXcN4qIiKCX/3qVx2+Hz16NPX19ZSUlPDCCy/wv//7v4A/Uefvfvc7rLUsWbKExMREJk2aBPi3ZBs8eHCHumJiYoiJiTnuNkrf0BR3OS288cYbzJ8/n5kzZwYC469//evs3LmzVxIIGWP4xje+wbvvvktaWhrgf0mwcOFCampqGDRoUKAdTqeTnJwcHn744Q7BuYjIyeb1elm2bBkvvfQSDz30EFlZWQDMmzePlJSUXrlmUlIS8+bN63SGkMvlCozszJgxg+eff574+HgF4iISFO655x7OPvtsbr75Zqy1eL1enn76aZYuXdor13O5XMyYMYNBgwYFgnOAV155BYBNmzbxzDPP8NOf/jQwm7PtLhhy6lOALqeF2NjYDuso58yZ0+vJ1iZPnswjjzzC9OnTcTgcNDc309DQwKRJkxg5ciT9+/cnMjKSSZMmER0d3attERHpDmMMGzdu5N577+XLL7/kt7/9beD73uR0Ojudku5wOLjllluIiIhg/vz5GGMCLz5FRPpaZ7OCsrKyiIqK6tXr1tXVBf52Op1UVFQABJb8jBs3jtDQUEJDQ7WbxWlGU9zltHDJJZe0+3z77bczbNgwvF5vp/uN9xSn08k555zD1KlTKS8vJysri6SkJIYPH86OHTtwOBx4PB4l5hCRoOFwOPj8888Dn4cMGQJARUVFpw+iPWny5Mnk5uaSlJTEjh07aGxsJDw8nMcff5wXXngBj8eD0+kM7KMuItLX5s+fz69//et233388ce9ft25c+dy//33Exsby/DhwwOj5QsWLKCsrCwwmh8SEtLrbZGTSwG6nBacTif33nsvL7/8Ml//+td58MEHiYiI6NXgvFV6enrg73nz5uH1etsl4lBwLiLB5uc//zlFRUX079+f//mf/6GhoSEQqPemmJgYpk2bBvjXmtfW1hIdHR0Y/dGDpogEm8zMTIwxga1zx40bxwUXXNDr13W5XIEZTuDPHeJ0OtvtlqGXmacnBehyynvwwQcpLCzkv/7rv/jNb35zUoLyrigYF5FgVlFRwc6dO5kwYQJbtmzB5XL12dTI1kSeIiLBqKGhgdtvv53BgwcHppv3ZSZ0ZWE/c+i1i5zSKisreeyxx3j77bdjYrbuAAAgAElEQVRZuXJlnwbnIiLBLjc3l/Lycnbu3ElISIjWLYqIdGHFihW8/fbbLFq0iLq6OgXIctIompFTlsfjob6+noceeoi9e/dy9tln93WTRESCVnl5OcnJyYB/Gx8REenc3r17KS0t5aabbmLo0KEMGDCgr5skZxAF6HLKaWhoYPHixYHPV1555QntdS4icjpbsmRJYK9zYwwXXnihluOIiHQiNzeXa665hu3bt2OM4be//S333XdfXzdLzjCa4i6nnLbBOXS+/YWIiPiXAbUG5+BPOuR0OvuwRSIiweu2225j+/btAFhrmTBhQh+3SM5ECtDllNM2y+/MmTMZM2ZMH7ZGRCR4td133Ol0csEFFyhAFxHpwtSpUwH/4E9OTk6HbXxFTgZNcZdTzsUXX0xlZSWRkZHtHj5FRKS9yMhIFixYgNvt1mwjEZGj+N3vfseDDz5IUlJSXzdFzmAK0OWUFB8f39dNEBE5JURERCj7sIhINyk4l76mKe4iIiIiIiIiQUABuoiIiIiIiEgQUIAuIiIiIiIiEgQUoIuIiIiIiIgEAQXoIiIiIiIiIkFAAbqIiIiIiIhIEFCALiIiIiIiIhIEFKCLiIiIiIiIBAEF6CIiIiIiIiJBQAG6iIiIiIiISBBQgC4iIiIiIiISBBSgi4iIiIiIiAQBBegiIiIiIiIiQUABuoiIiIiIiEgQUIAuIiIiIiIiEgQUoIuIiIiIiIgEAQXoIiIiIiIiIkFAAbqIiIiIiIhIEFCALiIiIiIiIhIEFKCLiIiIiIiIBAEF6CIiIiIiIiJBQAG6iIiIiIiISBBQgC4iIiIiIiISBBSgi4iIiIiIiAQBBegiIiIiIiIiQUABuoiIiIiIiEgQUIAuIiIiIiIiEgQUoIuIiIiIiIgEAQXoIiIiIiIiIkFAAbqIiIiIiIhIEFCALiIiIiIiIhIEFKCLiIiIiIiIBAEF6CIiIiIiIiJBQAG6iIiIiIiISBBQgC4iIiIiIiISBBSgi4iIiIiIiAQBBegiIiIiIiIiQUABuoiIiIiIiEgQUIAuIiIiIiIiEgQUoIuIiIiIiIgEAQXoIiIiIiIiIkFAAbqIiIiIiIhIEFCALiIiIiIiIhIEFKCLiIiIiIiIBAEF6CIiIiIiIiJBQAG6BA1rbV83QUTklGCtVZ8pItJN6i/lVOLq6waIAOTn57N9+3aGDBnCuHHjqKysJC4ujqamJtauXUt0dDSZmZkYY/q6qSIifaqpqYklS5ZgjGHBggXU1tbicrmIiIhg69atlJWVMXv2bGJiYvq6qSIifW79+vWUlJQwefJkEhMTqampoX///lRUVLBp06bAs6dIsFCALn3O5/ORnZ0NwJ49e9izZ0+HMg0NDZSWluJ0OklISFCgLiJnrB07duD1egH4+OOPOy2zadMmJkyYQFRUFOHh4SezeSIiQaOpqYmSkhIAtmzZ0mmZvLw8UlJS8Pl8xMfHn8zmiXRKAbr0ufXr13dr6tG6desAGDNmDAMGDMDpdNKvX7/ebp6ISNCoqKhg7969Ry136NAhVq9eTVhYGGeffTZVVVUkJibicGhlm4icGay1LFu2rFtlly9fjjGGzMxMrLXExMQQERHRyy0U6ZwCdOlTPp+PsrKyYzonJyeHnJwcAM4//3wiIyN7o2kiIkFnz5491NfX8+ijj5KQkMA999xzxBlFTU1NLF26FI/Hw4gRIzSNU0TOGI2Njbjd7m6Xt9ayYcMGmpubCQkJ4cILL9RLTekT+n+d9Amfz0dWVhYffPDBCSXu+Pzzz6mtre3BlomIBJ/S0lKWLFlCUVERubm5bNu2jc8//5xDhw5RUlJCfn5+l+d6PB7AP40zKyvrZDVZRKRPuN1u1q9fz+LFi4/53ObmZsDfb3766aeB/lPkZNIIuvSJxYsX09TUdML1WGtZsWIFMTExJCcnM3z48B5onYhI8Ni/fz8bNmwIfJ44cSL/+q//SkJCAmFhYdx66634fD4WLVrEqFGjjljX7t27aWpqorm5malTpxISEtLbzRcROak++eSTHqnH4/Hw5ZdfYoxhzJgxJCYm9ki9IkejEXQ56crKynokOG/V3NxMZWUl27dvZ/v27T1Wr4hIX/N6vXz11VftvnM6nXzjG9/gsssuw+l0EhkZiTGm28t9iouLKS0tZfHixRodEpHTSm5ubo/WV11dTVVVFWvWrKG4uLhH6xbpikbQ5aSqrKxkzZo1vVq/iMjpwOfzsXz58sCUy86EhITwpz/9iebm5mPOx+H1evF4PBpFF5HTQkFBQSBHUW+orq4mJSWl1+oXaaURdDmp2k7TLC4ubpeNuDXr8JESejQ2NnLbbbfxjW98g0OHDrU7NnbsWGbMmIG1Fp/P1/ONFxE5iQoLC7uVYyM0NLTL4Pz111/n6quv5rPPPmv3fXh4OGeddRaRkZH4fL4TygUiItLXPB4P27Zt67X6p06dyujRo/WMKSeFRtDlpIqPj2f//v1UVVVx1113Ya3l2WefJSUlhV//+tdkZ2dzxRVXcNttt3V6fl1dHQcPHsQYQ2VlZbtt1nbs2EFeXh4ul4uGhgYmT57MkCFDTrjNlZWVhISE0NjYSGVlJampqcocLyK9LiYm5oTraF32k52dzTnnnBMYLW9sbGT16tUMGDCA8vJyYmJiOOecc074eo2NjTQ0NOByuSgvLyc8PJzk5OQTrldE5EicTidRUVHU1dX1Sv2bNm0iMjKSpqYmfD4fc+fOJS4u7oTq9Pl8VFRUEBERQU1NDbW1tQwdOlSzmkQBupxc06dPZ+XKldTW1hISEoLX6yUsLAyA9PR0tm3bdsSgOiEhgV/+8pe43W6GDh3a4bjH4wmsqdy5c+cJB+ilpaWsX7++3dvSnTt3kpaWRkREBAkJCYSGhuJ2u/H5fERFRSl4F5EeMWDAAGbPns3q1auPu4777ruPtWvX8sYbb3DTTTfx7LPPMnDgwMDx8vJyAGpqamhoaDjhfX+/+OILPB5PuxH5xMRE4uLiCA0NJSUlhcrKSiIiIvB4PCQkJBxxmzgRke5wOBycc845fPDBB712jfr6+sDf+fn5TJs27YTqy83NJTc3F2NMoM/My8sjNTWVsLAwkpOTaWpqwul00tjYSEJCgoL3M4QCdDnpZs+eTWVlJS+99BKffPIJy5cv5+qrr+a73/0u3/nOd47Y+Xg8HtLS0rr11rK5uZnNmzeTkZHR6fFt27axYcMGwsLCePDBB/nud7/LHXfcQWhoKFFRUYB/fefhU5mste2m5h/u0ksvxel0HrV9IiJHk5CQgMvlOuI69CN59NFHycvLw1qLw+Hg0KFD7QJ0t9tNXl4eY8eOZdWqVcyZM6fTIL21P62vr8flcuHz+Zg6dSoNDQ3tguzWF5ZtlZWVUVZWBtBhm7fx48dr9w0R6REOhyPwUtPj8fD222+Tnp7O3Llze/xapaWl7N69m2HDhnV6fMmSJZSVlTF27FjKy8uZOHEiDoeD2NhYQkNDAf9SI6DdC02Px0NBQQFAh/X0YWFhXHjhhT1+LxJ8FKDLSedwOEhNTeXVV1/lz3/+MwCjRo1iwoQJeDwe3nzzTaZMmcLkyZM7nHv33XdTXFzML3/5SyZNmtThuM/nwxiDMYbm5mZKSkoCx6qqqti6dSvDhg0jLCyMmTNn4vV6WbBgAQUFBbzwwgtMmjQpMBKemZl5XOsyDxw4oCQiItJj5s2bx9KlS4/5vI8++oicnByMMXzzm98kOTmZsWPH4vV6+fzzz3n99ddJSEggJyeHyy+/nDvuuIPq6moiIiLw+Xxs2rQJay3Tpk1j06ZNHDhwIFC3MYZVq1bR1NREaGgoI0aMID09Ha/Xe0xt3LNnjwJ0EekxCQkJREREsHz5ct555x18Ph9/+9vfcDqdlJSU8OGHH3LBBRcwePDgE7pOc3MzxcXFgQC9uLiYvLw8Jk6cyJYtWwKDNW+++SYOh4OcnBxqampwOBz069ePWbNmHfM1m5qaqK+v10zNM4ACdOkTI0aM4I9//GPgc0NDA2vXrmX//v288847fPDBB7zxxhsdzqupqcFay8GDBzscKy4u5u677yYlJYWnnnqK0aNHk5SURG1tLVVVVZSXl1NdXc2uXbuYNm0akZGRNDQ08MMf/pDp06ezYMGCwPSluro6ysrKKCoq6tb9FBYWkpiYSGRkJKWlpTQ3NzN48GBN3RSRExYdHd1uCmR3NDc3U1RUhDGGhIQEDhw4wCuvvMLzzz/PsGHDaGxs5MCBA4F6x44dy4QJE+jXrx9vvfUWU6dODbzgrK2tDYz0xMXFkZaWhrWW4uJimpqacLvdFBQUEBcXR0NDwzHdm8/n4+9//ztz5swhKSnpmM4VEenM8OHDmTBhAunp6YwcORKn04m1lt///vds3bqVXbt28atf/eq463e5XIwcOZLk5GQOHjyI2+0mNzeXmpoa9uzZQ1xcHMYY4uLiyMjIoK6ujsjISLZu3YrX66WyspK6urrj2hq4oKCAhISEdjOh5PSjAF36RFRUFOPGjWPjxo3MnDmTP/zhD1RVVXH99deTnJxMcnIyhYWFOJ1O0tLSAuelpqZSVVXFF198QVJSEuPHjw8cKykpwefzBaafFxQUkJubS0FBAcOGDSMkJISUlBQ8Hg/r1q1jzZo1gc7ypz/9KeHh4ezcuZOdO3cCdEg04vV6KSoqIi0trd0U9uXLl/PEE0+QlpbGs88+S1FREUVFRezevRuXy8X06dMDD7ciIscjMTGR0tLSbpd/4oknWLlyJdZaysvL+eijjwD/TKJNmzZx/fXXM3bsWNLT0xk3bhyDBg2isLCQ22+/nc8//5zx48fz17/+FbfbzYYNG+jXrx9paWkUFRWRnJzMiBEjSEtL4+OPPwb8gfbhwXlZWRmhoaHExsZ22c7333+fP/zhDyQnJ/Paa68xbNiwEx7ZEpEzW1JSEv379+d3v/td4LuPPvqIbdu24XK5uOiii454fk5ODjExMV3Ohmx9HjTGkJ2dDfhfXg4aNIi6ujqamprYvHkzOTk57Nq1i/POOw9jDEVFRYHtgKuqqo7r3vLz88nPzycuLo7w8HCmTZuGw6FNuU43+l9U+oTT6eSf//wnb731FtHR0VRXV+P1epkwYQKTJ09m06ZN3H333fzgBz9g69atgfMyMzMJCQlh3bp1/PjHP2bt2rWBY1OnTuXHP/4xjz/+OA6Hgw0bNvC1r32N++67D7fbjbWW0NBQysrKaGhoIDc3l7CwMHw+H83NzVhrA+skAXbv3t2uA33ppZf4wQ9+wHPPPdfhXqy1uFzt33fV1NRQWVnZrk4RkeMxbdo0oqKiup0gqHW5T+taR2stiYmJJCcnExERwfz584mKiuL3v/89TzzxBMYY/uVf/oUlS5bg9XoZNmxYYOS9rq6O/fv3U1tbizGGxsZGrLWBB00g8EDaau/evYG8HkcaVe/Xrx8+n49+/fpx6NAh8vLyjvMXEhHxi4qKYtSoUbjdbu655x7uuusuXC4XxhjGjx9/xB0rduzYwQMPPMBdd91FY2Njp2WstdTW1gaCc/Av+2loaKCioiLQZ4aEhNDU1IS1Fmttu+2BWweIjldVVRUlJSXd2opTTj0aQZc+k5yczPXXX8+//du/AfDYY48xfvx4Kioq+OyzzwgJCcHtdrNz505SUlJISEjg2muv5bzzzguc0zaBmzGGzMzMwOfExESMMQwaNAiXy8XYsWMJCwujsLAwEKzHxsaSlpZGfn4+e/bsISYmhkGDBhESEtIuEVx9fT3bt2/H5/Oxfft2rLWB6esZGRn88Ic/ZObMme3uz+fzsWTJEnbv3s2tt96qNUMictxcLhfnnXce27Zto6CggOjo6CM+mN1///3s27ePoUOHcsstt3Do0CFCQ0N54YUXAmXy8vIC0y09Hg/Dhg3jq6++4pFHHuGss85i0KBBREREBALssLAwhg0bxqBBg/jwww+x1gayDefn53doQ3eW+GRmZvKXv/yF6OhowB/oFxQUkJ6efoy/kIjI/xkzZgzGGAoLCwGYM2cOGRkZxMfHB8o0NDQEkgm3JsdsXVIUGxvbYeDlSCZNmkRxcTHV1dWAP2Fmv379GDFiBCtXrqS6uprExERcLhe1tbXU1NT0yH1mZ2czffr0Y2qrBD9zLGvaZsyYYdevX9+LzZEz0YoVK9iyZQvf/va3WbFiBQcPHuSDDz5gwoQJLF68mE8//ZSQkBDeeecdPB4Pd955Jw0NDdx9991ceeWVNDc3U1VVxYgRI2hubqawsBCHw0F4eDipqamEhIRQXV3NxIkTA6NPTU1NrFixIvDg2boO0+FwcNlll7Fv3z42bdoUaOO7777Lyy+/HPj89ttvBzrzBx54gOzsbL7+9a9z4403Bsps2LCBRx55BJ/Px7p16054Ow45OYwxG6y1M060HvWX0hvcbjd79+5l4MCB7Nmzp9PAuK2//OUvvPPOOwDcfPPN3H///RQVFREZGUlSUhJTpkzB4XDw29/+lszMTEaNGkVhYSHp6ekMGDAA8E/n3L17Nzt27AD8mYdbR5ZmzpzJgAED+PDDDztcu6ysDJfLxerVq0lISOh2UiRjDJdffnm3fxPpW+ozJZi98847WGu57LLL+OCDD9i6dSu7d+/mwgsv5KWXXmLFihWMGzeOxx57LHBOY2MjLpeL9PR0SktL8Xg8TJw4MTBFPTQ0lJCQEMaMGUNlZSUOh4OxY8cGniXr6uoCiT3b5g/p168fZ599Nl999RV79+495twiXZk+fTrJycknXI/0vu72l3rdIn1u3rx5zJs3D/AnNnrxxRdZsmQJISEhTJkyBfBvO7Fy5UomTJhAVVUVxhgmTZrEWWedhbWWpqYmwsPDqa+vp76+nrS0NFJTU2lubsbn83XIEhwWFsbIkSPJysrC5/NhrcXpdDJq1CiWLFkSWGPucDgC2wl98MEHxMbGcuGFF7bbhig+Ph6fz9furSzA0KFDiY+PJyUlhVGjRvXmTygiZ4jWjOnQvRHqnJwcHA4HycnJPPbYY6SlpTFu3DhCQkIwxnDfffdRWlrKnXfeSWhoKI2NjUyfPr1d3U6nk5SUFAoLC2loaAgE56mpqeTl5bF582aeeuopkpOTueGGGwLnJSYmsnnzZl588UW8Xi8/+tGPAn39kbTNOyIiciKuu+46wP98ec8997B//34A3nvvPaZNm4bP5yMrK4v/+I//4LLLLiMzM5Pw8HBGjx7N6NGj8Xq9eL1eQkNDiY6OJjc3lzFjxhAfH4/b7SYpKand6LUxhujoaIYMGcKePXsCAXh4eDhJSUksXry4R4LyVk6nM/AyVU4fGkGXoLJ8+XIWLlzImjVrAIiIiGDgwIGUl5fzm9/8hsGDB5OdnU14eDh33nnnEaf0+Hw+Fi9ejMfjYf78+cTExHQo09TURH5+/gmte/T5fBw6dIiamho+/fRTpk6dCvinvhtj6NevH/3792fixInHfQ05eTQaJKeKqqoqVqxYccQy1dXVbNmyhe9973td7tfbaseOHezatYv09PRO+6vWhHOt/XPrC8y1a9fy6KOP4vV6eeutt9ot56mqqmLhwoWUlJTgcDh44YUXjjjS0/oQnJGRoWVBpwj1mXKqSEhIoKKiIvDZ4XAQERERSAocEhLCj370I6666ipmzpx5xJegdXV1LFu2DKfTyQUXXNAueXCr2tpasrKyejUXUWxsLIMHD9ayoFNEd/tLJYmToDJt2jTuv/9+LrroIgYOHMgll1zCM888w2effcaIESNwu92MGzeOSy+99KhZK621NDc3A3SZiKN1JL2zjrW7HA4Hu3bt4oEHHuBvf/sbv/jFL/jlL3/JV199BcChQ4coKCigoKDguK8hInK41i3PDn9RGR0dTXR0NG63m379+vEv//Iv3drCzO12Y4zB4/F0etwYQ2JiIqmpqcD/5QCZPHkyc+fO5YYbbugQVMfFxfH000+TnJzMoEGDiIuLo7q6mqeeeqrTafFut5uKioqjvngQETlWb731VrudeHw+Hx6Ph7vvvpuhQ4dijKG8vJzi4uKjzlBqfa70+Xzt8iG1FR0dzZgxY0643f/4xz94/vnncbvdHY5VV1ezbds2JYs7zWgEXYKStZYVK1ZQXV0dWLv4ta99jffee4+f/exnzJw5k6lTp3a5BUarhoYGPB4P/fr1O2K55uZmdu7cedT1nF351re+xcGDB4mMjCQyMpKqqip+9atftdsGLi0tjYyMjOOqX04ejQbJqaiwsJBt27bhdDqZNWsWGzdu5OKLL2bmzJk89NBDxMbGMn/+/CPW4fP5qKysJC4u7ogvLVt3vNi8eXPggTE0NDTw99HWVb733nv86U9/AuDOO+/ksssu67Tc5Zdf3q1p/NK31GfKqaapqYnf/OY3vPLKK1x99dUsWrSIMWPGUFxcjNfrxRhDVlbWUZcn1tTU4HQ6jzrbp3WXi9aR9NbZR4f/3ZnGxkauu+46nE4nDzzwQJe5PDIyMrQ86BSgEXQ5pRljmD9/PldccQWzZ8/G4XCwfft2nE4ntbW1geyYRxMREdGtci6Xi/HjxzNv3jyMMbhcrmN669l6jRtuuIFbb70VgMcff7xdmZ5ccyQi0tbQoUO5/PLLueSSS4iPjycvLw+n08m+fftwuVwMGjToqHU4HA4SEhKOOqPIGENSUhIXXnghcXFxAAwbNiwwkn+0vq7tvuhttx06/BonsgWRiEhXwsLC+NnPfkZeXh5PPvkkbrc7sDZ98ODBjBkz5qgDQAAxMTHdWooTFhbGrFmzmDx5MuB/Nm1d6nOk4Bz8a9evvvpqMjIyjrhU8mj1yKlFSeLklLFkyRI2bNjAZZdddkJT0o8kLi6OCy64ILB/sMvlCkx1artu6XAOhyPQpujoaKy1gW2DREROtttuu42UlBSmTJnC4MGDe+UaxhjmzJlDQ0MDUVFRJCcns3XrVsLCwti/f/8RA3Wn00l0dHQggVNndeulpoicDFFRUaxfv57y8vIj7pF+ooYMGUJiYiKhoaE4HA6ysrKoqamhqanpiFPUb7vttqPWrQD99KIp7iJH8dFHH+Hz+QgLC6OsrAyHw9HhjWlNTQ35+flMmjQJh8NBVVUVUVFRgW3dZs6cyf79+ykpKWH8+PEMGTKkL25FukHTNUWOX3Z2Nvn5+URGRgYSLx3OWktWVhapqakddr8AGDlyJP369WPr1q1ER0cHZlFJcFKfKXJ86uvr+fzzzwOfj+elpNPpZNq0aeTm5lJXV8esWbMCM5sk+GiKu0gPaZ2OGRcXx7e+9S2+853vdHjwjImJCewn3Fq2NTgHWLduHQUFBXg8Hnbs2MG+fftO3g2IiJwksbGxWGtJTEzscqaTMYaJEycSHx+P1+tl3759gQfT5uZmbr/9dq6//nrq6+uprKwkJyen0+RIIiKnstDQUMLCwggNDT3qLhtd8Xq9rFu3jqqqKjweD9u2baO8vLyHWyonmwJ0kaOYPXs2l156aWCdeXNzcyA7fFsul6vd2sq2du3axXXXXcfChQtxu91s2rTpuBPSiYgEq5SUFC6//HImTpxIVFTUEctGR0fz3HPP8e///u+8+uqrABQXF7Nq1SpWr14deJGZl5fH0qVLNeVdRE4rLpeLBQsWcMEFFxx11Ls1mD+aqqoqvvzyyy7ze8ipQWvQRbrBGMOoUaP46quvCA0NJS8vj8bGRsDfaaakpDBhwgTcbjeffvpph/NLS0sxxrB3797Ad9u3b8fj8fTIFhwiIsGiNfP6nDlzOHToELW1tWzZsgXw5+uIjY1lypQpREdH8/jjj7fb2m3w4MHccMMN+Hy+dkuBWvvWCy64QNPdReS00dpfpqSkEBkZSWhoKJ9//nnghWR4eDijRo1i6NChHDhwgHXr1nWr3i+++ILMzMxubbEpwUcBusgxGDNmDNZaYmJi2LhxI263m+Tk5EBmzdZ91Xft2gX4M3U2NDQwe/ZsHnzwwQ5ZQXft2sXgwYNZu3YtMTExTJs2TdsKichpweVy0b9//0DG4tbEcXPnzg2Ueffdd3nuuecYNmxYoO+78cYbO63P7XZTW1tLYWEhZWVlZGZmKhmniJw24uLi8Pl8TJ06lY0bN2KMYezYsYHt0wYOHEj//v0DSYvDwsJoamrqsr7s7GycTiebNm1i6NChR902ToKHXkOLANXV1SxfvrxbWTD37t3LmjVrCAkJYdCgQZSWlrJ+/frA284RI0YwcOBAUlNTA/tVGmOYMWNGhwDdWsuSJUuoq6s7atZjEZFgYK2lsrLyiA+GrZqbm1m6dCklJSUMGjSI/v37s2TJEmpqagD/DKRrrrmGAQMGMGfOHEJDQ49Y3xdffMGePXuor6/n4MGDPXI/IiK9qaioiE2bNnWr7JYtW9i0aRP9+/cnKSmJ7OxscnNzA8cnT55MQkICI0eOZPz48Uesq6amhtWrV9PY2NhuBqcEPwXop7CrrrqK/v3788orryiBzgm65JJLWLBgAU899dRRy7YmPgoNDSUtLY3GxkZKSkoCwX1ISAgzZ85k6tSpREdHk5GRQUNDwxEfJq21uFwu9u/fT3FxMZWVlT1zYyICwO7du7nrrrv44x//qAeVE7R//35WrVrF8uXLu1XeGBMYCaqurqa+vr7dtpXp6enMnTuX+Ph4zj33XKKjoykqKuryhWVzczMNDQ0cOHCA6upqioqKtMWQSA+LiYkJbKWof7+OX3NzMxMmTGDOnDl88cUXRy3f+owZFxdHTEwMTU1N7f6b1bqzxdixY0lNTWXEiBHtkhJ3xefzUVFRwd69e7vcYUOCh6a4n4K++uor3nzzTf7xj38AcO+993LppZcycODAPm7ZqSsxMRGv18uAAQOOWrZ1a6CwsDCMMYwbN46oqKguMxaHhYXx7W9/+/+zd56BUdXZ3//cKZlJ74U0EtIh1ANm+D8AACAASURBVNACSFNERVEXsKKsBf6wWLGzgq6KiiJgQUFZBAuCvdOrlBgSQkJCCiQhJCFDep1Mpt3nRZ65y5AEQge9n1eZO7f8Zggn5/zOOd+D2Wzmo48+wtfXt93zzGYzaWlpUpnnDTfccNHmvcvI/F0QRZHffvuNr776ijVr1hAYGEh0dPRFmw3+d8DmDJ4p2w3/E0GyWCxotVoGDBhATU2NVLJ5Kg4ODixZsoQffviBu+66i7vuuqvNTPQnn3ySY8eO8cYbb0j6HhaLha5du16YDygj8zdm06ZN3HPPPdJc7r1796LT6dpUAMp0DkEQ8PDw4MSJE5LY8OmIj48nPDwcZ2dnTCYTCoXitP69n59fp0SHDQYDe/bsQRAEnJycGDVq1Fl9DplLixygX2U0NDRQXFxsl33o3bt3pwJLmY754YcfqKioICAgoFPnnzwHvVu3bp1+ji2TdLpSdlEU0Wg01NfX4+7uLgkiWSwWmpub5Z5LGZmz4LfffgMgNjYWtVpNnz596NOnz2Ve1dWNr68v1113XaeyNtAa0NvO9fb2xtvb+7yeX1VVhUKhoLa2Fmi1mQqFgubmZhwdHaXzGhsb0Wq1qFSyqyMj0xlSUlJoaWmx81GuueYaOTg/D5RKJbm5uej1ery8vM54viAIkp/n4OBAdHT0Ga85+d9LqVRisVhOe65Go6Gurg43NzcpKWQ0GjGbzXb+rczlQzibntf+/fuLKSkpF3E5MmeioKCAQ4cOYbFY2LVrF4MGDWLixImXe1kyZ0Cn02E2mzEYDOTk5HT6Oh8fHwYPHgzArl27qKuro1evXnL27yIiCEKqKIr9z/c+sr28Mvj111/tXt90002yCvgVjslkIi8vD39/fw4cOCBNzLBRWVmJTqejR48emEwm1qxZQ0REBEOHDuX666/HwcGB48ePk5aWhouLCyNGjLhMn+TvgWwz/zps2LABk8lEY2MjX3/9Nc8//zwDBw683MuSOQO2kvUjR46cVQtXTEwMUVFRWCwWNm/ejMViYejQoR2ODJY5fzprL+Vt5auMsLAwSSxi3rx5nSoxlLn82DLzZzP7fOfOnSQnJ/POO+9QXl6O1WpFFMXT7ozKyMjYExUVxeHDhwkMDKRfv36XezkynUCtVtOjRw8MBkO7+io+Pj5S1djevXv5/vvvsVgsDBs2jGPHjhEbG0tzczOiKGI2my/18mVkrlpGjhzJpk2bcHd35/vvv7/cy5HpJM7Ozudk7/Ly8jCbzRQUFEhZeFlv4MpADtCvMhQKBWPHjr3cy5A5CavV2mFGziaGFBgYSENDA4cOHQJadzuff/55unTpwmeffUZhYWEbReQPP/wQvV7PRx99xG233YYoiphMJjIzM3F1dW23TNRqtUql8fK4NhmZ1gxBTEzM5V6GzP/H5gS2Z5+sVitlZWW4u7vj4uLC3r172ziLISEh1NbWotfrEUVR6teE1iqjQ4cOsWrVKqC1ZNNqtbJ3714SExPbXU9eXh6enp4daoPIyPyd0Gg03HzzzZd7GTIncTofs7a2lpaWFvz8/CgqKqKsrAxonZ1uMBhQKpUEBQWh0+na3ewURZH8/Hy7Y7t375YqkU7FZDLR3NzcqV56mfNDDtBlZM4Bs9mMSqVCp9ORkpJCUFAQffv2ld5vaWmhrKyMgoICmpubMRgM1NXVAa2OqVarpaSkhKKiIgICAoiMjEQURbKzs6Us++TJk0lKSiI0NJTt27eTmprKjh07eOaZZxAEgT59+tClSxc7w33gwAHKysoIDw8/4/gNGRkZmUvByZmZbdu2YbFYGDlyJBqNRnr/+PHj1NbWcvToURwcHBgwYIBUttmjRw9ycnKwWCw4OzvTu3dvRFHEarWybt06Fi1axPHjx/nggw+45ppr2LRpEy4uLrz55psEBgayePFicnJyCA8Pl54JkJSUxMiRI3F2dkan03W6p15GRkbmYmLzMXNycjhy5Ajx8fGEhYVJ7zc0NFBVVUVmZiYKhYKBAwdy5MgRoDU479KlC4WFhSiVSnr16kWvXr0QRZEdO3ZI4n+nY+/evfTo0QNvb2+7zdRdu3ah1+vp168fXbp0ueCfW+Z/yAG6jMxZsnr1aiZPnsyMGTN44oknEASB+vp6u3PS09MpLy9Hq9UCreVHer0egOjoaLp168b8+fMJCwujvLyc5ORk4uLi7O5z8803c/PNN3PnnXdiNBrx8vJCoVBQWlqKKIqkpaWRlZXFqFGj0Ol0eHp6SsH6qbutp8taycjIyFwsTCYT27dvRxRFEhMTpSxOS0uLFCxXVVWRnp4uZcs9PDxobm5GpVLh4OBAaGgobm5uVFVV4evry/bt2/H19UUQBEkQKTAwkNdff51PP/2UH374AR8fH0RRpKSkhDlz5nD06FGmTZvGq6++SnNzM4IgSHZSrVa3sY2iKMr2UkZG5pLz+OOP8/7777Ny5UpiYmLa9TGTkpIwGo1oNBosFgsKhQIXFxcMBgO9evXC09MTlUqFn58fBw4coL6+nqioqNMKFJ9MQ0MDSUlJBAcHEx0dLdne0/mYsr28sMgBuoxMJ7FarWRmZrJ582aUSiX79+8nIiICZ2fnNsqcvr6+VFVVERUVRWBgIDt27MBgMBAcHExUVBQAs2bNAmDbtm3o9Xry8vJoaGho89y4uDiysrJ49NFHaW5uZsCAAdJ7RqORDRs2SK+Dg4MZMWIEzs7O0jGLxcKOHTswmUx2WSsZGRmZi4lOpyM/Px+j0SgFxEOGDMFisdiVSDo7O6NWq3F0dGTIkCHk5eWRmpqKIAgMHz4cpVIpqb8XFRXR2NhIY2Nju05hUVERoiiiUqkYMmQIu3fvpr6+HoPBQEpKCjt27JDOValUZGdn4+3tbaf0fvjwYXJzc+nZs6c8uk1GRuaSYDQaOXDgAHv27EGpVJKens5dd91FZWUlfn5+duf6+vqi0+no378/Go2G7du3Y7Va6dWrl3RuTEwMVquVkpISBEEgKyurjeDmmSgpKaGkpER63bNnT3x9fe2U3puamti5cyfOzs5cc801cqB+gZADdBmZTtLY2MjBgwcBmD9/Pvfeey/Nzc0oFIo2QW94eDjh4eE0NjayceNGRFFk//79rF27lnfffdcuoO/Tpw/Z2dnS6DyFQsGaNWvYv38/Tz/9NC+//HKbtej1epYsWUJYWBiTJk2SjtvGsFksFo4fP45eryckJETKGBkMBjlAl5GRuSTk5OTQ2NiIh4cH3bt3R61Ws379+jb94I6OjowZMwZoLaGsra2lvr6eNWvW4ODgIL0HEBQUREFBAePHj8fNzY0lS5bg4OAgZd9jY2PZv38/AwYMYOrUqej1epqbm9m9ezfXXHON3XOtVisBAQE4OjpSV1dHcXExoaGhVFdXIwgCNTU1coAuIyNzSThx4gTl5eVSZebtt9+OXq9Ho9G0GRVpGxW6bds2nnzySSZNmkTv3r2pqqoiODjYLtOdkJBAbm6uVNquUqnOWTyzubkZJycnTCaT1I7k5OSEKIo0NDRgtVpRKpXn8S3I2JADdBmZTlJUVMTHH3/MH3/8wahRo5g2bRp79uzBZDLRs2dPAgMDOXDgAM3NzXTp0gV/f3+pHB1g8eLF1NbW0rNnT5599lnpvp6enlLQbDabyc/PZ+3atZjNZvbt28eNN94onWuxWPjxxx+prq5m9+7d7Ny5k9tuuw21Wo1KpaKqqop169ahUqkk0TlXV1cSExMxm804Ojpy9OhRAgICpPJ7GRkZmQuNTcjN9rPRaGTBggW8/PLLxMbGkpGRQWlpKYcPH8bPz08SarPNNt+0aRO//vor+/btk4SPoNW51Gq1mEwmysvLMRqNds7rnXfeyQ033CCNCXJycsLJyYnx48e3WaMoimzZsgUfHx8qKyultQ4cOJDy8nJ8fX05fvw4arVaFpGTkZG5aFitVu6++25yc3NZsGABHh4elJeXk5WVBcCwYcNwcHBg//79KJVK/Pz8CAoKYuHChaSnp2M0GunduzfHjx8nJCREmnIB0KVLF7Kzs6XX5xqcK5VKjhw5QmlpKS0tLdKm6KhRo+jXrx9arZbm5mZpk0AO1M8POUCXkTkFm1q6TcGytraW2bNnExUVRUJCAqmpqcTExLBz507c3d2pra3F2dmZY8eOUVRURGZmJt27d8fT05Nhw4ZRVVWFp6cnzz77LGvXrm3XUezVqxd1dXW8+eabbNq0CZVKxbBhw6RyIVuQn56ezueff47VamXw4MFERkZKwkY2o2uxWKRRbIIgSD+npKSgVCoxmUwUFRXRs2dPPDw85JnQMjIy54XRaLTr405OTqaiokKyWyqVipSUFDw8PLBYLPTp0wez2cyBAwcQRZHGxkYUCoVk06qqqnj88cdJS0vj3nvvbfO8xMREPv/8c0pKSuxKLaFVIKmzJZa29dmCc9taoXUkZkZGhuSEDho0CFdXV3ljU0ZG5rywWCxSGw5AdnY2b7zxBnv37kWpVLJjxw5Wr16Ns7Mza9aswWq14uDgQHZ2NoWFhRQWFtKrVy+qqqr4z3/+g8FgYNasWQQEBGAwGNqdYT548GC2bt163uuG1iy6DaVSSUtLi9RCpFAosFqt1NXVERoaioeHx3k98++MHKDLyJzC3r17pdFoBoOBzZs3s2zZMlxcXEhNTWXevHns2LEDURTp168fGo0GURT55ZdfWLVqFTt37mTw4MF88MEHODg44O3tjSiKPPfcczz//PPtPrOxsRGDwYCjoyPQups6fPhwXFxcGDBgAAqFgqSkJCIjIwkPD8fPz4/nn3/+jI6oKIqkp6fj4uKC1WqVnM2Ghgb27NlDWFgY8fHxF/YLlJGR+dtw4sQJ9u3bh1arxcXFBU9PT8rLy4FWsbdevXqRn59PaWkpN9xwAwaDAZVKJQXnNlQqFU5OTvj6+qLX64mMjOTAgQPtPlMURfz9/XFwcOCNN94A4JlnnkGlUuHi4sLw4cPZs2ePpAJ/NlRWVrJ58+Y2493+/PNPVCoV119/vbypKSMjc05YrVa2bNmC0WgkJCQEg8HAf/7zH9avX09kZCRz5swhMjKSL774And3d6699lpJJK60tJQ5c+ZQXFzMAw88wOzZswkODuadd97Bw8OD0NDQDp9bUVFhl+w5meuuuw6dTkdmZuZZfx6LxcKePXsk3SOb3Tx27BjFxcX07duXwMDAs76vjBygy8i0wTYO7fjx4wAEBATg4+PDTTfdRGRkJADXXnst0Kr+W1FRwbfffstjjz0mZbEHDx5MYGAgVVVV0uiLwMDADmdH1tfXI4oi06ZNIzIyEpPJRP/+/XFwcLDrV3dzc2PRokVn/Zk6clRNJhNmsxmTyYRWq6W+vl7KSqnVaoKCgmTBDxkZmQ6x2UuDwUBDQwPl5eV4eXmh1+vp27cvzs7O9OnTh9jYWBwdHbFarWzfvt3OJimVSgYNGkRTUxNZWVnU19ejVCrp3bt3u8+0Wq00NDRw/Phx/vzzTwBKS0vp2rUrYWFhaDQaHB0dzylAt92/PcxmM1arlebmZumzFBYWSjYyJCRE1viQkZHpEFEUpUkWRUVF0sjJvXv38uijj3LfffcBrfbM1dUVhULBW2+9xQsvvMDAgQMpKyvDYrEwYsQI0tPTMRgMFBcXc+zYMUJCQjr016qqqhBFUcpw26ZfeHh4oNFocHV1Pa/P1Z6tFUURi8WC0WhEFEUcHBwoLy+nsrISrVaLm5ub3Dp0GuQAXUbmFDw8PKiqqpJeFxYWcvfdd/PII49QV1eHs7MzGzduZMCAAfj5+VFfX8++ffuk4NzPz4+pU6eSlJSEQqHA3d0dZ2dnXFxcOnxmSEgICoUCrVZLUFAQwcHBmM1mvL29pT4eZ2dnyQi6uLjQ2NgoGdkz0dFojdLSUkpLSzu8rqCgAEEQEASBxMREuadIRkbGjq5du5KXl8eRI0d45plnCAsLY+3atcTGxkrOYkNDAxaLBUdHR8xmcxtnLjIykt27d2O1WtFoNLi7u59WnE2pVDJkyBD69OkjZYbuvvtuVCqV5GgGBQXZla6ffG1nbGZHrF+/vsP38vPz8ff3p7Kykt69e8vOp4yMjB1KpVISaXvqqacoLCxk0qRJPP3004wbN46WlhZaWlrYu3evJI65e/duRFEkKSkJaFVnX79+PatXr0atVrNo0SJGjx592mRKfHw83t7eaDQadDodYWFhtLS0SDbKzc3NLsPu6OhIc3MzGo1G0jM6F9LT00/7vq1iysPDg759+57zc/6KyAG6jMwpxMfHS+JvAAsWLEAURZYsWYK7uzsPPPAACxYsQKFQ0LVrV55++ml+/fVX6fry8nJiY2NRqVS8+OKLJCYmtlEPhtay9n379uHr60t8fDwhISEAksE0GAzk5eVRWFhIZGQknp6ekmNrU+O09RrZFOBtiKLI5s2bcXV1ZfDgwef8XZw8e7O4uJiwsLBzvpeMjMxfD41Gg5+fH3v37gX+t+mn0+kQRZGePXuSkZHBN998w3fffcezzz5LTU0NI0eOlDb8cnNzgdYyTIVCwaRJk9r0louiSFpaGvX19QwaNAhPT088PT2ZO3cu0JrdbmhoYN26dWi1WmJjY9usVRAE+vbtS0pKykX5LkwmkzSSKDMzk5EjR8oVSDIyMnb07t2b1NRUCgsLsVqtrF27lq+//pq5c+eSmJiIKIrs2bOHuLg4Fi1axPHjx+2SLLm5uZLNbGlpITc3lxkzZrR5Tnl5ORkZGURHRxMaGiptegYEBCCKIgaDgT179kjixRqNRhrDZuszDwkJobCw8Lw2NU9HRUUF0JqBj4iI6LDK9O+IHKDLyJyCq6srY8eOlYLu++67j9TUVLKzs6mqquKdd94BkMobZ86c2e59zGYzr7zyCqNHj2bEiBE0NDTw0ksvMX78eMaOHUtVVRV6vZ7i4mLi4+NpamqiqKiIrl27UldXx/79+6V72crkbbi7u2MwGOjevTt1dXVtAvTs7Gw+/PBDrFYrq1atuiBCHfn5+XKALiMj04aBAweSlZWFxWIhLCwMd3d3jEYjBoOBjIwMAL755huam5t56aWXJCX2oUOHSvcoLy9nxowZKBQKBg0aRGxsLEePHsVgMBAdHQ20th0JgkBtbS1arZb8/Hy0Wi1dunRhy5Yt0qaqXq+3s582wc/g4GC7lqGLSVNTE/X19e0KNsnIyPx96dKlCz179pSC3oSEBCwWCwcPHmT37t3SednZ2dx8880dqq77+/tTXl6OIAhYrVaampooKCigW7duuLq6UlpaKpXAh4aGUlVVRUVFBREREVLyx4ZthLANW8Vn165daWxsRKfTXeivoQ15eXn079//oj/nakFWOpGR6QCNRoPJZGLgwIFs376djRs3olQqOywXt+Hg4MC9997LbbfdBrTucH799de88sorfPTRR9xzzz1Aq7MYHR3NgAEDgNaMS0FBAZmZmZjNZgRB6LCkvK6uDpPJxK5du8jMzGyTpQkJCaFLly7ExcWdd2+RjebmZpKTk8/4+WVkZP5+WCwWVCoVtbW1uLm5MWLECDQaDQsXLuTBBx+U+i6Dg4NxdHSkpqbGTgROrVZL4mtpaWmUlZWRmZnJkSNH0Ol0KBQKBgwYQExMDP7+/lRVVZGbm8uBAwcwGo1YrdYOs9VGoxGj0UhBQQEbN26UBI0uNn/88Yed4rGMjIwMtAbXSqUSQRAYP348f/75J2+//XYbAcrTjUTr1q0bgiCg1+vJzc3l888/Z8KECSxbtgyA2NhYIiMj6dWrFwCpqakcOXKEoqIiaTOzI8HLxsZGmpub2bJlS5sE0MVCp9ORn59/SZ51NSBn0GX+Muh0OjZu3Mhdd90lZUzOh27dunHPPfeQkpLCmjVr2L59OwqF4oylPgqFgqqqKmbNmsUNN9xAdnY2U6dORRRFwsPDGT16NLm5uVRUVJCQkCApt3t5eVFbW0toaCgBAQG4urri4uLCxo0bJYENhUIhlSDZhIxswh8nB86urq58+OGH5/0dnEp5eTn79++npaWFiIgIfHx85L50GZmrEFEUKSgowMPDA29v7/O+34MPPoher+fpp59m8ODB5OXlsXbtWrZt2yad06NHD6ZMmcKrr77KsmXLUCgUvPLKKyiVSuLj49m9ezf5+fnSxAwbGRkZjBs3jpkzZ/Lwww8DrT2SGo0GNzc3tFotI0eOxGw2U1hYyLFjxwCIiIho1+E7V/G4ziKKIocPHyYoKIg//vgDZ2dnAgIC6NKlS5vSfRkZmauDuro6dDodMTEx530vrVbLd999x//93//xyiuvYDQamTNnDrNmzer0PQIDA3n11VcJCAigoKCANWvWkJ+fz7fffsuoUaOwWCwkJCRIPpqXlxc1NTX4+fnRrVs3QkND0Wg0ko328fGRxOTgf2PVjEZjhwrwF5rs7Gxqa2uxWq1069YNLy+vv22bkBygy1yRFBYW8vvvv9O3b18SExPP+B9048aNjB07FoApU6bQ2Nh43lmSadOmkZycDMCOHTsYM2YMjo6O0s5jRxgMBtavX09ISAgrVqyQjFxwcDDz588nNDSUl19+mfXr1/Puu+8yceJEBEGQeopsmSDbuKLy8nKKi4v517/+hZubG2lpaVLfjg2lUtmh8vCFpqysDGjtew8ICKB///7o9XpOnDiBn58fVqsVFxcXu38zW7/T2cwolpGR6RwtLS3Mnj2b4uJiVqxYcVpBSmh1uGwq5NBafj5x4sTzWkNFRQU+Pj44ODhgMBiYMmWKNO3CRlZWFrNnz5ayQoIg8NJLL6FQKHjzzTcl9XWbzQwNDcVkMrFy5UoOHDjAK6+8wm233Ya3tzdJSUkYDAYUCgWCIEifx2afgoKCiImJQa1Wk5uba+dc2mzQxXI4169fz7JlywgLC2Px4sUYjUZqamrIzc3l2muvRa1WU1paiqOjI46OjqjV6jabyra/M2q1+qKsUUbm78zUqVNZs2YNa9eu5aabbjrj+Y8//jjvvfceANHR0eTk5Jy3L/Pggw9K2el58+adtRjbrl27+OGHH7BarURFRfHKK68QFBTE1KlTmTFjBsXFxcyZM4d77rmHhoYGqUxdo9GgUCjw8vIiLy+P0tJSTCYTo0ePxmQykZ6ebqc/BK0bonq9/rw+b2ex2fATJ04QFxdHREQENTU11NfX4+vrK/mYJyOKIi0tLWi12kuyxkuBHKDLXJF8/PHHvPnmmwDcc889fPnll6c9f8KECXavo6OjycvLO68gffDgwWzdulV6vXnz5rO6/pNPPpF+ViqVVFZWcuedd6LVavHx8aGuro5169bh7+/PqFGjpHNtjprFYmHLli089NBDiKJIUVERDz30EDU1NXbPiYmJkXZ2z5aGhgZeeOEF3NzcePXVV+2y4bbvLygoqMPrjUYjiYmJFBcXM3/+fKnf0ta3pNfriYqKwmg0kpOTQ3BwMH369DnrdcrIyHSMTqdj4cKFUoXP559/ftpM7c6dO+029CZNmsS2bdsYOXLkOa/B1dUVNzc3XnjhBebOncv27dvZvn17m/NOLtm0WCwoFApMJpPkYEGrs/Xiiy9SVFTEO++8w9ixYzl8+DAjR44kOTmZ/v37o1araW5utgtgc3NzpcC2tLSU8vJyUlNTqa6uZsSIEQiCgJeXF4GBgec087ezODs7I4pim78/giBQWFjYRnRJrVbTrVs3jh49ipeXF1FRUezevRtBEBg9evQFqQiTkZH5H59//jktLS2MGzeO//znP5LYZHtYLBYpOIdW3+jhhx9m+fLl5xWkx8fHs3PnTun14sWLz+r6EydOSD8XFBQwZcoU7rjjDg4dOkRqaiqiKPLYY4/xww8/8MUXX0jn2tbc1NRERkYGjz76qJREGTJkiF1wrlQqiYuL4+jRo+f4Kc+P5uZmNm/eLFWOQuv6u3fvTlFRkSREevToUXQ6HT179jztBJCrCTlAl7kiCQ4Oln5evXo1xcXFbNu2rU05tSiKJCYmSqrmNo4fP87y5ct5/PHHz3kNERER53ztyQwePJiEhASWLVsmzZ+cM2cOpaWlxMXFYbFYyM/PZ8yYMZjNZsmps6kS23Bzc7PrBTKZTAiCgJubm5R9h7MbI1RSUkJpaSnHjh2jvr4eT09PoFWU7vnnn0cQhNM6+4WFhSQnJ6NUKiktLZUC9PLycqn3MiMjQyrjv1Q7sDIyfyeCgoIYNWoU27Zt4/vvvycpKYmDBw+2K4j2xx9/SON7Tmby5MkUFxefs8Pp6OhISUkJ77//vpThONUut4dto2DhwoVMnDiR6Ohohg8fTnZ2NtBqo/z9/SU14+bmZrKyskhMTMRgMNip/tbW1trdu6Kigjlz5qBQKIiOjiYhIYG4uDhp46CkpASLxXLBHbrhw4fTo0ePNgJxFouljeAntH4HNhteVlZGeXk5FotFEn+SkZG5sAwePJgdO3YA8NJLLyEIAnPmzGlznslkwt/fv83xFStW8MQTT9CzZ89zXoOPj4/0syAIp+037whBELj11lsxGAxs3LiRX375ha+++oo77rgDgDVr1uDk5ITZbGbUqFGoVCppw6+pqUnyF61WKwcPHpSmX9gy7GFhYVRVVdnZ8ktV7g60uzEgiiI5OTmSn5uUlCRt1J4cyF/tyCJxMlckM2fO5IYbbpBe//HHH3h4eEi7mKIosnPnThISEvjzzz/bvcd33313Ts8uKyvj8ccfp1u3bud0/akkJSXx008/8eijj7J48WJWrFiBq6srycnJ1NXVYbVaKS4uRqPR2GVcKioqCAwMZMGCBcyfP5/rr7/e7r733Xcfd955J++//77d8bMZhxEbG8v06dN5/vnn8fDwYMuWLaSmpuLi4oJCocDZ2VkyfBkZGSxZssRuk8Dd3Z05c+bwyCOPEBcXJx0/NetuC9ZrampkkTkZmQuMSqVi9erVdOnSBWi1Yf37gNJycQAAIABJREFU92fIkCGSw1JUVMTLL7/M8OHD272HLeN8toiiyPvvv8/bb7/N5s2bpaxOZ4Lzk6moqOC9997jkUce4ZprruGJJ55g0qRJeHt7o1AoaGlpkRxavV5PfX09Hh4ediJHVVVVdvd0cXEhMjKSgIAAnJ2dKSsrY+vWrVitVmpqanjsscd48sknpZLKC0FaWhrPPfcc5eXlqFSdy4GcOh3DZsNFUWxTaiojI3P+bNmyxU5Ad+7cuXh7e0v92EajkW+//RYHB4c2VYs2fvzxx3N6dlpaGo899hj/+Mc/pGPn6heJosiPP/7I+vXrGTduHOHh4ZJmUX19PZ9++ilTp06luLgYZ2dnNBqNdK1Op0OtVhMfH48gCNK0DGjdNKysrCQlJcVO7f181nqh0Gg0bZJGtsqpC2nLLzfC2XzR/fv3Fy/W/FAZmfZ46623ePPNNyUDGR8fT2NjY7u7aoIgMGrUKDIzM7FYLHz//fcdOqOnY9asWSxatIjo6GiGDh3KqlWr0Gq1REdH26kOnwuCIPDf//6X5ORkli5dSmxsrGTk09LSGD9+vGR4mpub2bt3L3q9HkEQCAkJ4dixYzg6OtLc3Mxjjz0mlZafbFhPJT09nfXr13P//fdLDnx7ZGZmMmfOHKxWK19++SUqlQqlUkl1dTVJSUn88MMPVFVVMWnSJO6///7Tfs5Ts/hqtVoyoDfddFOHyqFXAoIgpIqieN6zPmR7KXOpqaysZNGiRWRlZfHTTz+hUChYvnw5jz76aLvCaFqtlj59+pCens5dd93Ff//737POoOfn5xMTEyPZthdeeIGamhoCAwMpKCg4b2fOx8eH7OxsaSPWJtCUk5NDt27d6N69u3RuVlaW5ExGRkZKAnEODg5t+jsbGxt5+OGHsVqtLF269IKNX3v++efJyspi8ODB/Pvf/+70dR1VPoWFhREfH39B1naxkG2mzNWIyWRi1KhRdqPN/vnPf7JmzZoOM7EDBgwgOzsbPz8/Nm/eTHh4+Fk/d+DAgezbt4/JkyeTlZVFWloazs7OeHl5UVxcfM6fx8aiRYtYsWIFBw8eZMqUKTz33HO0tLRQVFTELbfcIvlf1dXVJCcnSyJwHh4e1NXV4e7uTl1d3Xmv42Jysk8J/7OfCoWiU5oCl5PO2ku5xF3miubZZ5/luuuuIyEhAaDDvkGVSoXBYLggiuJ3330369ev59FHH2XGjBmsWLECaDV6Bw8ePKsM9amIosi7777Le++9R0FBAY888ggxMTGMHj2aP/74g+nTp0sZcUdHR4KCgkhLS+Ozzz6jb9++DBkyhIiICLKysli0aBEmk+mMohhLliyRyiZtM9zbIzg4GB8fH7y8vHB0dJS+y4ULF5KdnU1MTAzu7u6d2vQ4+TtycXHBarViMplQq9VUVFSQlZVFXFzcaTcMZGRkzg4fHx/mzp1LYGAg0JoFefDBB9s9d+XKlUyZMuW8nxkaGspNN91Ec3Oz3eZdZWUlXbt2Pe+2lvj4eCwWCwEBAajVaiIiIvj999+ZNGkSgiDQ0NAg2aru3btLAbqtlDwiIoKioqI293VxcWHlypXk5+dLYp3nU65q45///Cc//PADd91111ldd7LN9PT0lDalfXx82L17NxqNhoSEBFlkU0bmAqFWq9m1axc33HADGzZsAFrtYnsEBgZSWlp6QZ772GOP8dprr/HQQw/Z6X5MmjTpggToWVlZTJw4kYCAAJ5++mni4uLw8vJCr9fz6aefcvfddwOtqu5ubm5kZGTw3XffMW7cOHr06IGXl9cVH6CfHJx7eXnR0NCAxWLB3d2dI0eOUFJSQr9+/exaoK42rtw0lozM/6cjg2nDy8uLlStXXrBxXwMGDODQoUPMmDHD7vgTTzxBSkoK9913X5trbD3W7XHHHXcwePBg6fXYsWNpaGjg5Zdf5pZbbgEgISEBi8VC3759pfOWLl3Kfffdx44dO1i/fj2LFi1CFEW6du2KWq1GqVSi1Wrp0aMH/fv371C52ZZ9ObVM6VQ8PDz45JNPmD9/vt13OWjQILRaLUOGDGHx4sVtyjHPhE0sDlqN6pEjR9Dr9ZLAx+Uul5KR+Stxprm1zs7OXH/99UyePPmCPE+tVvPzzz+zadMmOzvo4+NDXl4ev//+e5uKmfbGFNkCz4CAAObMmYNWq8XV1ZWZM2eSmprKiRMniIqKQhAEyQbFxcVJ99br9ezZs6dNe41Wq7XTEwkODiYxMZEuXbqg1Wr55Zdf2L9/P5999tlZf/bGxkZ+++03u6kasbGxvPDCC53KrHXkPJ5cUpuTk0NtbS06nQ6j0SjbSxmZC4wtOG8PQRAICgrip59+umDPmzx5Mjk5OW1EOb/88ktSU1P57bffziozHxAQYPc6NTWV1157jcGDB0v+X69evRBFkcjISKA1WfTII48wZ84cvvnmGzZv3szHH3+M1WqV+tBt9qZv37706NHDrjz+ctBRy1B1dbUUsNfU1FBQUEBjYyM6ne6q9jHlDLrMFc/pZvRWVlZekBm+nUEQBPr06cOsWbP4888/0el0jBs3TsrkWK1WRo8ezXvvvceKFSvw9/cnOTmZ7777jg8++ICkpCQAbrzxxjZj4N5++23eeOMNOwM0b948SkpKiIiIoEePHgwbNozBgwcjCAI9e/YkLS0NURRRq9WkpKR0WDZuy6CdHPyfDf/4xz/YuXMnq1atwt3dndGjRwOtAks///wz48aNa1dkydfXl/r6+jalpbW1tRQUFLB27VqKi4txdHRk8ODBeHl5UV1dTWlpKTExMX+pcRkyMpeK07W7PPXUUyxYsOCSrSUoKAh/f38mTJjAxo0bCQoK4tlnn8Xb25va2loSExOprKzk/vvvZ+TIkQwYMAAPDw/Cw8Pp06cPgiAQGBgoib/ZNg579OhBY2OjNGINWvspbaN4bCJIgYGBhIWFYTKZKC0tpbGxEZVKRVZWltTbPXHiRJqbm89pzNzKlSvZtGkTO3fuZP78+Wd9/cn95VqtFpVKhV6vtxOGa2xsRBAEBEFg586dtLS0EBAQQJ8+fbBareTk5ODr6ytXI8nInCOnlkvbcHd3byM8eTFxcHCgX79+lJWVsXTpUn744QfMZjOrVq3CZDLx66+/MmzYMKZOnUp2djYnTpygoqKCpqYmbr31Vn766SdUKhU9e/bkwIEDdhuT27Ztk0SKoVUgbsmSJahUKsLCwvD19eWBBx7gmmuuQalU4unpydixY3FycmLbtm0UFhZe9tbEU0X0vLy8aGpqauNj2s4rKCjgyJEjCILA8OHDcXR0pLi4mMbGRmJjYy9YUu9iIfegy1zxdFTS5+TkxLFjxy5ZgN4eoiiSnp5OS0sLCQkJdgH26tWruffee1GpVOzatQuVSoVGoyE+Ph6z2YxSqTxtueLGjRv54osvGDNmDF5eXlxzzTW4ublRUVFBY2Mj2dnZWK1WNBpNGwN17NgxfH197TJaCoXinBWBn376aQ4fPsxTTz3F8OHDqa+v54UXXuDYsWOEhobS3NzMtGnT7CoFoNWhHjZsGAcPHrTL6s2YMYOSkhJuu+02HnroIbvzLRYLERERdqJzlxK5n1LmambBggU888wzbY4rFAoWLlx4XpMtLgQnTpwgNzeXuLg4fH19peMmk4ktW7ZgNpsJCAigd+/eVFVV4efnJ2VATudQ2UY5lpeXYzAYCA0NpVevXhgMBkpKSqivr+f48eMXVIH4jz/+4N133+WOO+6QVJPPl/j4eBQKBRkZGWc812YvVSqVnajqpUa2mTJXKycHrSdjq9QpKCi4DKv6H3V1dUyYMIGIiAiWLl1q5zM+9NBDrFixArVaTVVVFcnJyVLrYGNjo50IXnssXbqUH3/8kU2bNgH/C2xXrVpFXV0dzz33nKRJdLoqURvn42OeK66uriQkJLBr165Oq+ALgkBCQkKbyoNLRWftpRygy1zR3HnnnXz99ddtjt911108/vjjbQLCK42MjAyqqqqkOef5+fmUl5fTp0+fThk8URTJzc1FFEViY2OxWq2sW7cOQRDo2rWrVCZuw5ZleeeddwgJCWmj8H6uGI1GqqurJYO2ZMkSNmzYgFqtpkuXLhQVFXVaFEmn0zFv3jyqq6uZPXs2PXr0sFu/k5MTQUFBREZGXpYdW9nZlLlaKS0ttRtReTKRkZHk5eVd0T3MJpOJiooKfH19UavVNDQ0kJGRQWhoKCEhIZ26R2VlJUVFRcTGxuLs7ExaWhqlpaV4enrS0NCA2WyWMmaXwqG0Wq2888475Obm8txzzxEVFXXW9ygqKmLPnj3cdNNNbUa3OTk54erqSvfu3dvMXb9UyDZT5mrF19eXysrKNscFQWDXrl0MGTLkMqyq82zbtg1vb2969eqF1Wpl6tSpNDY28tlnn3WqJL2+vp5Zs2aRmJjIQw89REpKCkOGDMFqtfLRRx9hNBqJjIxst8LgasTBwQGNRkNERESHfysvNrJInMxfgn379rU5dvvttzN9+nR69ep1GVZ0dpy6xry8PCwWCydOnOhUL7cgCFI/ELTuUNpKx8PDw3F3d0ej0XD48GFphJktqD11V3j9+vWUlJQwZcoUaXRaZ3FwcLDbbezfvz+7du1i4sSJJCYmsnnzZsaOHdupe/3yyy8cPXqUwMBAu+AcWjckmpqayMvLQ6VSUVRUhLOzMwMGDLiiAwsZmSuBrKysNsf8/PzQaDTMmjXriv8/pFarJYE7gOLiYmpqajAYDJ0O0H18fOzmC/v7+7Njxw5Gjx5NfHw81dXVCIJAVlbWJcn2lJeXs3PnTgCWLVt2Ti0Gb7/9NkVFRTQ0NDBt2jS79/R6PXq9noaGBnx8fKioqGDgwIFnzJ7JyMjQRq9DqVQSHh5OSEgI/fr1u0yr6jy25A+0buStWrUKQRCYNWsWgwYNOuP1bm5uLF++XHodFRVFTEwMzs7O3Hvvveh0Otzc3Dhw4MBfYsa40WjEaDRy4MABrFYreXl5BAcH2/nZVwpygC5zRbNx40YSEhKor69n/vz5PPvss5d7SedFz549qaystHNCO6K+vh6VSoVKpZJKPZVKJXq9HqPRSE1NjeS0pqenS9cNHTqUbt264enpKR0zGAwsWbIEpVJJz549O2W4T8egQYP46quvpNdnGrt2Mtdffz35+fmMGzfutOcdOXIEo9FIU1MTqamphIWFUVNTQ3h4eKfnC8vI/J0YM2YMN9xwA+vXryc0NJSjR49e8UH56QgLC8NgMHQq02GxWKiurpaCVGdnZ5ydnfn111959tln6d69OwcOHMDd3Z3jx49LlUd6vZ7ly5fTvXt3rrvuuvNar9VqbVP14+/vz9ChQ8nMzOTee+89p/tee+21/Pjjj2esGDt27BgAu3fvZtCgQVRWVuLj42P3t0BGRuZ//Prrr9x+++2IokhqauoVP9LwdISFhTFnzhwaGhro3//MBS1VVVW4ubnR0tKCXq/H19cXJycn3nrrLURRxGw2061bN0RR/EsE56dy8OBBRFHkyJEjKJVKnJ2daWlpISws7Ir4uyl7uTJXNJGRkVf8uIezITg4uFPOZkFBAT169ECr1bJmzRp+/vlnYmNjefTRR3FwcKCpqUnKgh85cqRND/qpgkFarZZx48ZRXFzcJmt9JtavX8+yZcuYMmUKt91221ld2x5du3blzTffbPe9k2cBG41G6bhOp0On0wGtPawDBgy47IqiMjJXGoIgsG7dusu9jAuGk5NTp7NY119/Pdu2bWPx4sVEREQgCAJjxozB09MTi8UizTlvbm7mwIED0nV79uxhy5YtbN269bwC9NTUVF555RVGjBjBrFmzpOOCIPD888936h4NDQ2cOHFCUlq2cfvtt3P77be3e42tp942KeOPP/5Ap9PR0tKCUqnk8OHD9OvX77L1W8rIXMnceOONf5ngUxAEXnrppU6du2rVKh544AHCw8P54IMPsFqtxMTEEB4ejkKhwGKxSFWYf6W2k5Pbmk5uD83NzZV+rq6upm/fvpddFE8O0GVkrkBKS0uxWCzo9XqWLVsmjfiYPHkyiYmJmEwmKUA909xM2/zx6dOnn/a87777jm3btvHMM8/YqbJnZGRgtVrJyMi4IAG6jZODcRudmTFfW1vLvn37GDZs2AVbi4yMzNVNcXExCoWC5ORkUlNTueWWWzh27BiTJk3immuukcreGxoasFqtpKenk5uby4gRI+jZs+dZb1yeSmFhIYIgkJeXd873mDVrFpWVlTz11FNt7Ft79hLsnUyj0cjbb7+NUqkkLCyMAQMGYLVaSUlJ4YYbbpArj2RkZAD4+eefEUWRoqIivvnmG3r27IlKpSIyMpJrr70Wq9UqTcMoLy+nsrKSpqamdif2XE10pq2prKwMR0dHunfvfglW1DGytZaRuQIZMmQIq1ev5vDhw8ydOxer1cq1116Lm5sbCoXCLnvs6OhIU1OT3fX79+/H1dWVvXv38s033zB16lTGjx/f4fP0ej1r1qzBYDCQlJRkZ4SnT59O7969z7ss/lROnDjB0qVLGTJkiDS6rbPU1taSmpoqCUHJyMj8vfn+++/Zs2cPs2fPpqamBmdnZ8aMGQPYzwm2jW989dVXMZlMeHh48Nprr53382+99Vb8/Pw61ctYU1ODu7t7mwyNk5MTVqu13RGTndm8VKvVDBs2jOPHj7cZt7d9+3a6d+/eqfYqGRmZvzYLFy6ksrISLy8vVq5cia+vL9u2bQPazhsXRZF//etfmM1m3nzzzdOO8vyrUFBQgNVqJTo6WtqouNTIAbqMzBWIUqlk4sSJnDhxgs8//5ywsDCpDOlk8TdRFNsokGZnZ/Paa68hiiK9evVCqVRSVFQEwNatW8nNzaV79+5s27aNadOmERgYyMaNGzEYDKjV6jbjetzc3DotANcezc3NJCUl0bdvXzw8PKTjO3bsIDk5mUOHDp11gA6tu5y1tbVce+2157w2GRmZvwbx8fHEx8eTnZ3N999/T0BAAIcOHSIxMdHuvMLCQqBVXCk9Pf2ce05tlTyJiYm4uLigVqsZPnz4Ga9bt24dH330EUOHDiUuLg53d3dGjBgBtI7Iq6+vtxsdarFYeP3112lsbOSll17Cycmpw3sLgtChTovBYJA2bmUBORmZvzddu3Zlx44d7Nu3j5SUFMaMGcPevXuJjo62C9Dr6+ulik2z2YxGo8FisfDnn38SGRmJn5/fZfwUF5ejR49iMpno27fvZXm+HKDLyFzB+Pv7c+jQIV5++WViYmJ48MEHWbZsmfS+IAj4+vpSUVEhHfP29katVuPp6cmsWbPIzMwkISEBURRZvHgxCoWCXbt2UV9fz/r163nwwQdJSEhgw4YNDBkypM0Yn/Pl008/ZcOGDcTGxjJ//nzp+IgRI8jKymLo0KHnfO/m5mZqampkESQZGRkAFi1axMCBA7n//vt59dVX0ev1dlMr/P39KSkpYebMmef1nMWLF5OWlkZGRgZPPfVUp6+rra1FoVBw/PhxkpKSsFgs9O7dGw8PD9RqtV1wbjt/3759KBQKioqKiIuL6/DeOp2OuXPnEhsba9cHfzKHDh264NVQMjIyVycDBgyguLgYtVrNp59+SlZWFgsXLpTed3R0xM3NjU8++QSj0Yibmxu//vory5cvx9fXl08++eSMz7Cd/8ADD3DrrbdezI9zwSktLaV79+6XRfNIDtBlZK5glixZwuzZs3F1dcVisUhq7RaLBVEUUalUDBo0iCNHjnDixAlqamrw8/Pjq6++QhAEBEGge/fuqNVqBEFg4sSJZGdn06tXL9atWyeVY4aEhPDRRx91el2lpaU899xzREZG8vLLL5/23NraWqxWK1VVVXbHfXx8mDt37hmfZTQaWbJkCd7e3tx3331t1DWTkpLw8vLCz8+P8PDwTn8GGRmZvxaNjY2MHj2aoqIiHB0diYmJkTQ4bKJHAQEBDB8+nPT0dGkiRmf54IMP2LZtG3FxcfTu3ZsDBw6cde/6HXfcQXx8PAEBAbz++ut4eHicNqNdVVWFWq0mNDSUmJiY0947JyeH8vJyKioqePLJJ9tVIq6oqODQoUPo9Xp69+591iM3ZWRk/hqIosiMGTP48ssvJVvR0NAAtPpdKpUKtVrN6NGjSU9Pp6mpiZqaGoKCghBFkeDgYHJycvD19aWoqIg+ffq0K6yWmZmJKIpkZWVddQE6tAqACoJAZGQkvr6+l+y5coAuI3OFUllZySOPPAK0lhkNGTKE6dOn09TURFRUFAaDgezsbPz9/QkPD0ev11NTUwO0Zta/+OILDh06RGZmJkFBQTzwwAPSOLR58+ZRU1PDL7/8wpAhQ856bYWFhTQ1NZGeno4oinaOoCiK1NfXS5n4Hj168Oeff55z8Hzo0CF27NiBxWLh1ltvbZPht1gsVFRUUFlZKQfoMjJ/Y7Zt28a+ffuA1okZEyZMwGQykZ2dTX5+PvHx8YSFheHq6kpCQgK7d+/u9L2tVisbNmwAWoUzZ8+ezaRJk856jbZRl9Ca7T8TOTk5mM1mqqqqzqgqPHToUGpqaujWrdtpxwQVFBQArdM+goKCzmL1MjIyfxW2bNliV5EZHR3N/fffT3Z2NgkJCYSHh3Pw4EEUCgXR0dFkZWUB0LdvX1avXs3kyZOltpmGhgYmTJjQ7sjdf/3rXyQkJDBw4MBL9tkuJNXV1UBrm9DJc+cvNnKAfgkpLy8nLS0NHx8f+vXrd0XM2ZO5cnFzcyMuLo7c3Fy0Wi1//vknKSkpdOnShcrKSgRBoLKykmPHjjF9+nT279+Pr68v48aNY+TIkXzzzTfSvUpLS5k3bx5r1qzBycmJW2+9laqqqnNyMAESExOZOXMmwcHBbX6PP/zwQzZs2MADDzzA7bffzvjx4xk0aBA+Pj68++67lJSUMGfOHNzc3Dr1rO7duzN8+HC8vb1Pe40oiu3OIZa5OrFYLCxduhQ3NzcmTJhw2t5bGRlotRXjx49n3bp1GI1GXnzxRYqKirjjjjuA1moevV7P1q1bz/rets1PgLvvvrvd30dRFKmoqMDX1/e8/76/++677Nq1ixdffJHp06d3SnxOrVZ3OI6tPTojPCdz9XD48GHy8/OJiIggKirqci9H5gonKioKDw8P6urqpHng1113HatXr8ZisVBQUIDFYuGXX37hwQcfpLa2lunTp3PjjTeSmZmJ2WwG/je6bMOGDe0G6G5ubpJg59WMyWS6pM+TPdlLhMlkIjk5GZPJRFlZmVRGIiPTEQ4ODmzevBmj0UhRURHh4eH4+voyf/584uPjmTt3LuHh4SQmJrJ//36gtXxx5cqVHDx4EFEU8fX1lRQou3btyu+//84XX3zB5s2beeONN844Y7iyspLk5OQ2jlxpaSlubm7tllxWV1ejUCikknZBEAgICMBsNrNlyxYOHz5MTk7OGT9/TU2N1Oc5a9YspkyZckan9/fffycjI+OM95a58nn11Vd58sknmTZtGnv37r3cy5G5CujatSvffvstTU1N/N///R8qlYro6GhpyoWPj885/y5ptVqUSiWCILQRnrOxfPlyHn74YVatWmV3PDMzkzvvvPOs2ogOHDiA0WiksLCQG2+88aJUB2VkZLBp06a/zBzovzO1tbXk5uZiNpvJzc21G78nI9MeISEhZGZmYjKZ2LJlC+7u7sTHxzN//nwGDhzIsmXL2LdvH7fddhvV1dVYrVaWLl1KfX09qampAPTu3Zt///vfeHt7n5eY8NWA0Wjkt99+k0SXLzZyBv0SceofQHk0lMyZ+O9//8u0adO45ZZb+PHHH9mxYweTJk1i8+bNQKsKcWpqqhQ823YxtVot+/btQ6lU4u7uzsKFC2lpaWHGjBmS46hUKhk+fPgZA/QXXniByspKpk2bxo033gi0lnrOmjULURR55plnGDx4sN01zzzzDLm5uW16M7VaLY8//jhlZWWSKmZ5eTmNjY1069atzbM3bdrE1q1bSUlJOStRo7KyMj799FPc3d156aWX5EqVqxQvLy9pk6kzs0tl/t4YjUa2bt2KKIqMGjWKZ599lttvv53S0lLpnKNHj9Lc3HzOz1CpVKet0mlqakKhULQZe5mTk4PBYJCc2s7wyiuvcOjQoYs+pcJoNFJaWkptbS1xcXFypcpVyqm/W/LfPZkzMXXqVFauXMkbb7zBrFmzmDt3Li+++KJkv4qLi3nwwQftrrFarcyePRuNRoNSqZS0MVauXHkZPsGlRxRFTpw4QXV1Nb6+vgQHB1+0Z8kB+iXAZDKxY8cOu2Oy8ZQ5E1VVVSiVSqqrq/n6669Zvnw5NTU1qNVq/P39CQ4Oll6bTCYiIiIoLS1Fr9eTlpbGG2+8gV6v56mnnkKhUODu7k5FRQVarZbQ0FC8vLw6fHZjYyNbt27F19eX8vJyuznCgiDQtWtXjh49anfchlarpXfv3tLrsrIydu/ezXXXXWfnbLa0tDBz5kwsFku7szWHDRtGSkqKNIKoM3h6etLc3CyNpPvnP/9JWFhYp6+XuTLYv38/3bp146uvvkKtVp/2d1VGBv7X4gKg1+tJTk6WSjBt2BTUy8rK+P333xkzZozkYAmCgJubG3V1de3e39nZmQ8//JCWlhZCQkLaPWfmzJmMHTuWqKgoyS4D3HzzzWzfvp3a2lp0Ol27dvNUQkJCOnxOexgMBhQKxVnN7BUEgZ49e5KXl4fBYMDJyem0KvEyVyb19fXntfEk8/eksrISpVJJZWUl9957L9988w2iKKJUKrFYLBw7doydO3dK5/fo0YPc3FyKioqIjY1lwYIFHD58mAceeICYmBgefvhhfHx8LuMnuvh06dIFNzc3cnNz0el0coB+tdNeObvcJytzJp5++mmGDh1Kr1698PHxkdSG1Wo1ZWVlPPXUU/j5+UlO4OHDhwEktfbx48fTp08fu+oNHx8fmpqaOHIq4yO0AAAgAElEQVTkCK+//joff/xxu8/+4osv+P3334mIiODbb7+1U/oVBIEFCxa0mcneEYsWLSInJ4eSkhKeeOIJ6bhCocDR0ZGmpiYcHR3bXBcYGMhbb70FtI4Pevnll+nRoweJiYksWLCA2267jbvuusvumu7du+Pk5MSECRNwd3cnNDT0jOuTufIoKysDWjd7ADlokDkjGo2GESNGIIoieXl5mM1mysvLcXd3txuRY7VaWbFiBXv27OHIkSPMmzcPaP1dO1OQc6aZv2q1WvpdPblfUa1WU1JSgiAIFBQUdCpAPxWLxYLJZJL+T5xMeXk5M2fORKPRsHz58nbPaQ+VSkVoaCgKhYJjx45dVGdT5uJxcpUI0Gl9F5m/N1999RX79+/Hy8vLruLRttEpiiJbtmyRjttE4qDV3wwODpaqKSsrK9m3bx/9+/enurqal156CRcXl0v3YS4R/fr1w2AwUFVVddFnwMtR4iXg1PLMqKgoTpw4IQu0yJwWhULB0KFDcXV1ZfLkydJxk8mEKIpSqY1arbYLlEVRJDk5mdTU1DZ9iwaDgebmZgRBaHc8kCiKzJs3j5SUFBwdHUlMTGx3DI9Op+Of//wn//73v8/Y6zZ8+HBcXV3blKmr1Wo++eQTVq1addpMkdVqJS0tDZ1Ox9atW9m/fz96vb7dXlLbJsYnn3zCsmXL5I2wqxCz2Wz3OyUIAgaDoU3ZsIzMqTg7O+Pi4kJwcDD79u1j2rRpPP30023Ou/baa/Hz82PIkCH8+/+xd+ZxUZX7H3/Pxo4gO4gICIgErohr5pZa5tamaVYu3cz0Zmaa5VZZN+vnktlimpUtplkuuXRVDMUFFBRwAURBZJEdhIFhYOac3x+85lwmVhdyad7/yMyc5Tnjmec83+3zffttfvvtNzQajVHLterqatasWcMPP/zQ6Bx34sQJJk+eXCdLrjYKhYJly5Yxffr0m+pBLooiM2fO5JlnniEtLU163+C4PHLkCHq9Ho1GU6+QkVqtJjIyso4DoqysjIyMDGl+bqzdm4m7l7+uMTt06EBBQYGpDt1Eo1hZWdGvXz/8/PyMnHPNuW/0ej1paWnY2dlJGcGCIHD8+HFJrPCvnDlzhsOHD/Paa6/x7rvv3pM2UElJCVBTe19faebtxLR6bWHKysqIiooyeu/06dP4+/vTu3dv0wR6m8jMzGT37t0cOXLkvqxXXblypVE0WBRFaTFVXV1d55rPnz/PL7/8wrRp0yTjXaFQoFarAZg3bx6vvvqqtL3hWBqNhujoaAoKCpg/f76kfvxXrl69ilqt5vz5801+34899hg//vhjvcJK5ubmTXpZly5dyhdffMFDDz3E4sWLmTBhAlOnTmX+/Pl1tj116hQHDx7kyJEj5ObmNnpcE3cnf/75p9FrGxsbevfuTevWrY3S7UzcPBqNhrCwMNq1a8fZs2fv9HBuOy4uLlL7x/r6nIeFhfH1118DcPbsWX766ac625w/f54DBw6wZcsWqc1Obezt7YGaVkUFBQVGkab6CA4OZtiwYSgUCqKiopg2bRo//vgjx44dQxRFYmNjWblypSSuWRtBECgoKABgy5YtVFRUAHDw4EFiY2PZvXs3H330EZ988km9Rvbq1atZsWKFUUulc+fOMWHCBDp06MDhw4el9nQm7i2ys7ONnDZQc18MHjyYGTNm3KFR3X9ER0czbNgwPvjggzs9lNuOmZkZb7/99g3vd+TIEb777jt27NjB9OnTEUURR0dHJk6cSHBwsNG2giDwzjvvsGrVKlJTU4mJiZHWo/cSx44d49ChQ/z555/SPNxSmFLcW5ja6cU6nQ6lUklCQgJlZWWcOnWKzz77TOp1beLmEEWRuLg4oKYWq6Sk5L6rWW3VqpWReI8oikalE6IoIpfLpdRGGxsbBg0axMGDBwkICMDS0lJSegfYuHEjPXv2RKVSYWlpiYeHB8nJyVhZWTF//nxyc3ON6shlMhk2NjbSOXv06MGsWbNwd3dvVpr7rZCbm4tCoSAwMJDOnTtz/fp1Ro8e3eD2BqeXKXp+b6LVao1eq9VqLl68CNT0U42Pj2/xe+5+Z/r06ZJBNnnyZGJiYu7wiG4/zz77LC4uLjg5OaHX61m/fj2VlZWEhobSu3dvSSgzJSWFzp07I5PJUCgUyOVyKStJJpMhiqJRVNrW1hZzc3MpajRt2jS8vLwYMmQI8D+xTjMzM8zMzOosQtPT09m8eTO5ubn8/PPPKJVK3nnnHT799FMpbbJ2xhTUOFfXrFnDzJkzOXHiBCEhIYwYMYKHH36Y1NRUBg4ciJ+fX4PfhY+PD9HR0UYRH8PzxOAgNeni3JvUl1n09ttvk56eTkJCAr169eL555+/AyO7f6isrGTXrl2Eh4ezf/9+XnvttXrL8u5lnnrqKWbNmlVHt6M2tXU1oCY7UhAEbG1tSU9PR6/XU1hYyBNPPCGtvwyC2O7u7ri7u6PVahk2bBhubm5S9N1Q925raytFqO9mDOvtlp4zTQZ6C2N4OH/yySccPHgQNzc3pk2bJn2+fPlyk4F+i/y1xt/Ozu4OjaTlkMlkODk5IZfLUSgU9aYxCoIgefS6du3KW2+9Jd1/GzduZOnSpeTl5VFZWUlubi5btmzh+eefp7y8nOTkZJRKJTqdjr59+9Y59l8dAjk5OXWM+Jbiww8/JC0tjS5durBq1SoOHz7Mv/71Lx577LEG93Fzc7vvxUruR+pLeastWnP+/Hmqq6tNBvotUru8paEsmXsdW1tbfHx8EEWRtLQ09u3bhyAI/Pnnn0yZMoVRo0Zha2sr6WKIoigtTvV6PZcvX6Z///60adMGV1dX6bgajYaysjIpUu3m5mbU+9eQUVRVVWUUvVer1Xz55ZdERUWh0+no1KkT586dQ6/X89577yEIAgEBAQ2KYrq7uzN69GhOnjwpdcFwdXVl8eLFTX4XEydOZNy4cSiV/1vy+fr6smnTJszNzVEqlXTp0qVZ36uJu4va2R0bN27k0qVLRm2gNm3aZDLQb5G8vDw6depEaGgobdu2ve+Mc6hx1Nnb21NcXNxg6nntdWebNm346KOPKCgooHv37kydOlXqyjNr1iyWLFmCi4sLer2eyspKUlNT620zaQio6PX6e8I4NxAYGNji94EpxNTCFBcXA5CamgrUGDa1oxW5ublkZGTckbHdL9ja2uLp6YmZmRl9+/a9bxfv4eHhpKWlMWnSpCa3PXbsmFHkZsqUKVy9etUooyM1NdVowi0qKkKhUJCRkSGlU9aHUqnkk08+4aeffmLBggW3VKYhiiLZ2dnSora+dPnWrVvTrVs35HK5pMKcnp5OZmZmg8f96+/MxL1NbU/1mjVr7uBI7g9eeOEFduzYwZEjR5g3b96dHk6L4O7uzqBBg+jSpQsuLi60b9+e1q1bIwgCX3/9Na+//jrHjx9n4sSJvPzyy0bpiitXruTrr78mJiaG7du3s2HDBukzgxGvVquxtrZucpFmeB5FR0cTGRmJVqtFqVQycuRIyeFq0F14++23G9XjeO6551i7di0eHh43/H3UNs4N2NjYoFKpEASBgwcPtnjKponbj8Go0ev1bN++nQsXLhhl2x0+fLjeMg8TzcfNzQ0vLy/ef/99vv/++zs9nBbB3Nycy5cvk5mZaSSq2RBZWVnSOjE2NpYZM2aQm5tLcnIyV69e5fjx48D/sogNLYCbI2B5L6zhz58/z6VLl1r0HCYDvYUxtGx57bXXcHV1JTAwkEWLFkmRx+rq6mYZXCYaRiaT0aVLF4YOHUrr1q3v9HBaDDMzM7y8vHjjjTcIDAxstlJvfSgUChwcHNi1axeCILBlyxYmTpzIs88+y+zZs/nXv/4lOZf+SuvWrfH39wdq1LaPHDnSYGuipti0aRMvv/wyn3/+OYcOHWLMmDFSbWh9vPXWW8yZM4fw8HBeffXVeus1DdzsmEzcOfLy8khKSpIcmkqlEh8fHxYtWiRtU5/2gIkbw8XFhdGjR/Pggw/e6aG0KJaWlrRp04YzZ85w6dIl1Go1L730EqIokpKSwkcffURpaSlZWVmcOnWKnJwcAEkYs7y8HI1GU299tiiKlJeXGzk960OhUKBUKgkNDSU0NJTnn3+ebdu20atXL5YtW8Z7773HqlWr+OSTT+5oaZYoinXKS0zc3dQuv1AoFMyePZuJEycaOZT0ev19WTf9d2JmZkbv3r0ZPHjwLa277nZatWqFm5tbvZoczaF20MTKyoqdO3dy7NgxAH755Rdmz55dp+MA1C1HvFe6ELT0GtOU4t6CFBQUSPVBmZmZFBQUkJuby4QJExg3bhyZmZkUFhaaDHQTN0RgYCCdOnUiKSmpyW3NzMwQBKFOXZFer2ffvn0oFAq+++47aYIsLS1Fr9cjiiLff/89//73v4H/1VUC5OfnSylz6enprFq1ioCAAObPn8+WLVt46KGHcHR05PDhwwwZMgRHR8cGx6fVaiUhp8uXLyOXy6V64/qwtLSkU6dO0gK6PoV5AzcTZTJxZ/ntt9946623gJp0TXt7e/Lz8xkwYABBQUFcuHCB9u3b3+FRmriXkMlkkiBrdXW1USTZkMppbW3N//3f/yGTyfjiiy9Qq9V07NiRxMRE5HJ5nZpwQ90kNK14rNfr0ev12NnZGTmagHo7adwpFAqFJHxn4t4gOTnZ6PXgwYM5duwY8+bNY/z48fz8889ATX2xCRPNZezYsdja2tbbIvqvWFlZ1cm8USgUfPrpp8jlckRRZPPmzWzZsoWqqiqio6N59NFHjbb/a+ZkQ8Ghu42WbuNrMtBbkJMnT0p/BwcHExQUhLW1NdHR0WzatElKKa5d32bCRHN46623yM3N5cyZM5SWlja4XVVVFQMGDCAqKgqtVktAQACPP/44aWlpXLhwgdzcXAoLCxEEgW7dumFvb49MJuP48eP06NFDOo5KpeK7777jv//9L/PnzycwMJBp06YRHh5OXFwcnp6ebN++nX379hEfH4+TkxMJCQmkp6c3mkI7depUBg4ciLe3N3q9noCAgCbr2u3t7fn2228BGk0vTU9PJygoqNFjmbh7uHr1Kra2tqhUKszNzbG1tZUWCTKZTHLGmOZLEzfKiBEjmDx5Mvn5+WzevNnIwIb/acWIosj+/fuJjIzEzMyMhQsXUlZWVifTQBRFzM3NjSLOf33t4uLClStX0Gg0jTopW5pr166xYsUK+vTpw+OPP97gdnq9nvz8/Bbv7Wvi9qDX641SbHNycjhw4ACXLl0iMzOT//73v9Jnbdq0uRNDNHGPIpPJ+O6771i9enWTnVMqKiro1asXMTEx6PV6goODpX7p5ubmhISEYGlpyZw5c4iMjCQzM5O8vDzc3d2Nat0dHR0pKCjg2rVruLq6Ul1dTVxcHJ06dTIq2bibSE5OxtnZucWObzLQWwiNRoMgCFy+fJkvvviCy5cvo9PpsLa2ZvHixQwePJiPPvqIoqIikziLiRumc+fORERE8Oijj7Jv375Gt42IiADg8ccf55lnnsHc3BxBEOjXrx9eXl4cO3aMgoICcnJy2LNnD66urmzdulXaX6VS0a1bNyZPnkxhYSGxsbEEBQVRVFTEt99+i7u7Oy+99BIZGRnEx8czYsQI5HI5V65cwcvLC0EQGlRUVygUUrq8SqVqUCDprzRHnON+U/K/3zl79iwODg78+OOPkqJ2WVkZPj4+WFlZ8dJLL7F69WoeffRR1Gp1k+35TJgwoFQq2bhxI/Hx8XTt2rXeqLeVlRUDBgzgt99+A2oWl7V7liuVSgRBkFTYR44cSceOHaXPDVlKcrkcDw8PLCwsmD59OmVlZSxfvpyAgIAWvsr6OXHiBBcvXiQrK6tRA10ul9+1C2ETdcnKymL58uUkJCQwadIkPv/8c0RRpEuXLixcuBA/Pz+mTp1K27Ztyc3NNWVHmLghxo4dK0XSm2qHZmgl3bt3b6KionBzc6Ndu3a8+uqr2NjYoNFoqK6upqCggKNHj1JcXMyCBQuk/S0tLQkJCWH69Ols3ryZhx56CHNzcw4cOEBoaCgLFy40Ol/tjM47SUsa52Ay0FsEQRCknqi///67URqSt7c3S5cuBaBnz57s37+fuLg4VCqVKTJk4ob5/PPPpdY5TaVa/vbbbxw4cIBXXnmFlStXSgtKCwsLqqurMTc3x83NjaFDh0r7JCYm4ufnh42NDQsWLODEiRP06dNHSkMvLy+nrKwMjUaDn58fa9asITIyEicnJ5ydnfn555+xsrJi1KhRt+V6KysrWbp0KSqVisWLFzeY4q5SqYwW1ybubo4ePSrdv38Vs/Lz88Pc3JyXX36Zb7/9loULF7Jjxw5T32YTN0znzp3p3r07sbGxKJVKI5HM6upq9u7d2+C+Op2OH3/8ka1btyIIAjk5OaxatcpIhVipVNK2bVsCAgJITExEp9Mhk8nq7bpRm79G9JtLXl4e7733HiEhIfzrX/+qd5vBgweTlZVllBFVH3369DE5ve4RysrKSEhI4PTp02i1Wvbu3SvdP/369eO9994DagyIESNGEBQURGZmJu7u7ndy2CbuQdatW8ezzz7brPnpxIkTAPj7+/PGG2+wdOlSYmNjsbOzQ61W4+npiYuLC4MHD5YMbCcnJzp06IBOp6O6uhqZTIZWq8XLywu9Xl+vaObdYJw7OjrSoUOHFj2HyUBvARISEoAag+mBBx6gpKSE5ORkqqqqjBSINRqN9PetKGGb+Ofi7e3N3r17CQ8P59NPP21S5KesrIyqqiqsrKzQarVUVlZK96Gfnx8bNmyQ6n/y8/NZsGABMpmM8PBwvL29adOmDePHj0er1RIYGMhbb72FpaWl5J2Pi4tj9erVCIJAp06dEAThtgr3ZWdnk5SUhCiK5OfnN1hnXl1djSiKpt6+9wCCINRpr1JSUsL8+fPp3bu3UTu9q1evAnV7pZsw0Vx27tzJihUryM3NZfPmzVhaWlJdXV1H6To4OJjDhw9z6dIlZs6ciUaj4fTp04iiiL29PePGjcPb25u0tDRpH0EQSEtLo7q6mmvXrvHFF19QWlraqDI7/O/5r1arUavVuLm5NetaEhISuHr1KpmZmQ0a6HZ2dsyaNavJYxUXF5uirPcIBuGtJUuWEBkZyZAhQ5gzZw4ymYzp06dL2xkc6YIgNEuZ24SJv/LMM8+QmJjIhx9+2GiPdAMymYyZM2cik8k4d+4c8D8xtV69ejF58mTJYZmdnc3ChQsZM2YM48aNY8KECfTu3ZvTp0/z3XffMX78eCZOnNhyF3cLNFZaerswGei3Gb1eLykZHj58mM8//xxXV1d27txJRUWFlEJmaKvSpUsXZDJZsx/IJkz8leHDh9O9e3e2b9/O5cuXm9x+5cqVREREYG9vz6hRoygsLKS8vBx/f38plcnBwYGqqio8PDwQBIHy8nIsLCzQ6XQolUq0Wi25ubmEhoZKx1WpVLRp0wYrKyvc3NxYtGgRFRUV2NnZkZiYyJ49e5gwYcItibf5+Pgwbdo0VCpVk8cRBOGeaNfxT8fgda9NUVERubm57N69W7rnEhIS+P333zlw4AAzZ868AyM1cT/g4eHB+++/z/r16yW14qqqKpRKJdbW1kyePJmqqir69OnDlClT0Ol0BAUFsWzZMsrKyoiMjOShhx7C2tpaajMkk8mkHsJQUw9sY2MjicM1hJmZmeQY0Ov1TJ8+nYqKCj744AMCAwObvJZ+/fpx7dq1Fo/kmLh7KCkpkQylw4cP89///ldyRAuCwC+//MIDDzxAXl4egwYN4tNPP6Vz586mki8TN4VMJuPdd9+lXbt2vPTSS01Gr0VR5NVXXyU1NZWvv/6auXPnkpOTg0KhoG3btpJx7uLiwieffEJ8fDzXr19n4MCBmJub4+fnx44dO5DL5cTGxjJhwgTp/m6ucN3fwd+xtjQZ6LeZuLg41Go1K1euxMLCAkEQsLOzw9ramoqKCgoKCqioqCAuLo7i4mK8vb2prKyUvOaNPcxNmGgIZ2dnkpOTUavVtGvXrk77B2dnZ4qKitDr9chkMlJSUhAEgaysLGQyGQ8++CCjRo2iuroalUpFUVERZmZmfP7550DN4lGj0aBQKNi4cSNRUVEEBwcDsHbtWg4dOsSyZcsICgrihx9+kM5ruJ/XrVvH5cuXUSgUvPbaazd9nTKZzCii2tA2YWFhJuP8HqC8vLxexdYHHniA3r17c/LkSf7zn/8QEhLCuHHjaNOmDTt37uT3339Hp9MxadIkU5aEiRvGwsKCWbNmMWnSJKKiovjll18YNGhQnefvuHHjOHPmjCRcaWtra6RAXFvAsPZ9rNPpmtWC569Re4Pie1M1nxUVFWRmZuLv739busD4+vq2uCKxidtD7dIeV1dX9Ho9KpWKzp07c+bMGT7++GPeeOMNOnbsSHl5OW+++SZffPEFR48e5bnnnjMJxpm4YWQyGdOmTWPSpEkUFRU1GhyRyWQ888wzaLVa9u/fT05ODs7OznTt2pWwsDCgRt8jLy+PsWPHcv36dUaOHGlkeI8bN44jR46QmppKSkoKX375JTk5Oaxfvx5ra+sWv96msLCwkK6lJTEZ6LcRtVpNfn4+Z8+e5fTp0+j1erZs2VIntSgjIwOo8TTl5ORQUVHBG2+8wZUrV4iNjb2rWq+YuHdQKBS89957dRaGHTt2ZN68eSQlJWFlZYW7uzuhoaFYW1sTFhZGx44dGTt2rLR9U/WSVlZWDBo0SHqdmJiIXq/n3LlzDaqmP/3002zbtg2dTscHH3zAnDlzbrifqEajQSaTNbmflZVVi4t3mLh19Ho96enp9X6m0Who3bo11dXVHDx4kMDAQARBQKVSkZSUJNXE7d27V2olZMLEjaJQKBAEwWj+q83rr7+OlZUVGo2G7OxsfHx8yM/PNzKgRVGsY2g3dc7a6sW132/bti1JSUlERkYaZSf9lUWLFnH58mVefPFFRowY0exzN4Sfn5/JoXkPUFxcbFTe8/jjj/PII49gYWHBxYsXiYuLo7Kykl9++QWlUokoinz44YdotVo2b97Mu+++S15eHra2tnfwKkzcq5iZmTWact67d29efPFFevXqRVZWFlOnTiU+Pp4BAwbQtWtXSdzXcA97eXmxePHiOsdxc3PD398fjUaDk5MTaWlpyGQyLl261GSXn78DFxeXv6VXu8lAv01otVq2b9/OypUrCQoKYsiQIfj6+jJ06FAKCgrw9PSkvLycjIwMLl26JBk5169f5/z581IdW0pKislAN3HTrF27ts57iYmJ/PHHH7Rt25YlS5bg6OjIt99+i52dndRz+lZYuHAh58+fl+og9Xo93bt3Z8aMGdI2ffr0oVOnTjzzzDMoFAouXLhAt27dmn2O4uJiXnrpJeRyORs2bGhUzOhOtjQy0XxOnjxJYWGh0XtBQUGSmnSvXr344YcfcHBwwNraWmrnd+7cOakly5UrV+7M4E3cF6SlpTWYsunk5CQ506FG/0CpVDarDrMx6jPODfTr14+MjIwmozNWVlaIotisbhZNIZfLMTMzu+XjmGhZcnNz6whj2tjY0KdPH4qLi3n00Ufx8vLis88+48UXX+SJJ55g1apVfPPNN6xdu5Zr165RXV1NUVGRyUA3cVOo1Wr+/PPPej9r1aoV+fn5TJkyBRcXFzZu3IitrS2zZ8+WdBHWr1/fLE0ilUrFihUrpNcffvgh2dnZZGVlUVVVxdatWxk5ciT9+/e/PRd2gzg5Of0t56m/99E9Rn5+vpHgmgFD/cLZs2dbfAyHDh3i5MmTJCQksHXrVmbOnMmaNWuwt7fHz88PCwsLHB0dcXd3RxRFrK2tpWimKIqsWLGCJUuWMHr06BYfq4n7A0EQOH36NGfOnEEQBLRaLQMHDsTJyQlPT09pO7lcjoWFhaRQXFJSgo2NDeXl5UbHKy8vb7K+6K8K2wDu7u4MGTKEP/74g2vXrpGXl8e+ffvqCB/a2Njw3HPPMXToUEJCQm7oWrVaraTy2VS0yiR01Dh6vb5ekTVDFkRqamqLj+HSpUt1jHN/f398fX3x9vbGxcUFJycnZs2ahYeHBzKZDB8fH+zs7HB3d+eLL75gzpw5bNu2rcXHauL+ITs7m2PHjkkCP61bt0apVNZx+BlapRkwMzOjdevWN2Wc30gJxqhRo9i8eTN9+/Y1ej89PZ3nn3+eVatWATXiYBs2bDDKZLpZbjST6Z+IRqOpV8j32rVrxMXFtbhopSAIREVFMWfOHCZNmkRBQQFyuZwBAwbg4OBA+/btUSgUPPXUUwwYMACdTkdwcDDu7u68/vrr5ObmAvDUU0/Rrl27Fh2rifuHnJwchgwZwrJly4CaNeIDDzyAh4eHUetcQ/amISPOsMYsLS2V5j+ZTNasubC+Vo8dOnTgypUrrFu3jlWrVpGUlMTmzZtvxyXeFH9Xt4t7NoJuUEkNDw/npZdews3NjStXriCXy4mLiyMnJ4clS5Zw8uRJcnJyCA8Pl1J3b7e3ODc3F71eT9++fUlMTCQ4OJiHH364XmPG1dWV4cOHG6WTKZVKvL29kcvlREZGkp6ezsSJExvsHW3CBNR4M69duwbUpChu2rSJAwcOIIoi6enpPPXUUxQVFTFv3jyuX7/O999/j5mZGZ999hkVFRUIgiC194mNjeXdd98lODiY999/v8FzNhZBCgwMJDExEa1WS3BwMFqtts7i76mnnrqpa3Vzc2P16tXI5fImxW4uXryIUqm8JTG6+5H8/Hzy8/NJT09HEAR69uyJk5MTBQUFxMbGYmZmJjltnJycpP6lVlZWt7XOWxAEkpKSjN5r3759vUJXCoWCQYMGIYqiNGeam5tjYWHBwIEDKSwsZNeuXYwcObJJpWwTJpKTkykvLyc9PZ2goCCp44qPjw/nz5+X1K7DwsKIjIwEkMTeiouLG0xPbwjDM/xWu7QkJSVRUiQhk5UAACAASURBVFLCiRMneO2111AqlU2W8QiCQHFxMQ4ODo3+fqurq4mJiaF79+4mPYdaVFRUkJubS2pqKhqNBhcXF8LCwhAEgWPHjkm9nUVRlLLGNBoNKpWq3rXfrXDhwgWqqqpITU1FLpeTl5fHs88+W++2S5cuZe7cuZIRoVKpMDc3R6PRcOLECbZv346lpSXDhw+/rWM0cf+xd+9eIiIiOHLkCAsXLmT+/PmcP3+ewMBAtm/fzujRoykvL+ezzz5j165dVFdXY29vz6effoparUYul+Po6Mj69eslIc3GKC0t5d///jdKpZLly5cbtdENCQlh79699O3bl/Ly8jt6/8bGxtKtW7cW1wy7pwx0QRBYuXIlW7duZe7cuVhZWZGTkwPUpMDm5uaSlZUlvTdixAjy8vLw8fFh9+7dyGQy5HI5gwcPNqoLNxgqN/NwqqqqktKObGxsmD17NmZmZly8eBE7O7t6hVeUSiWVlZXEx8fj4uJCr169CA8PR6fTMXjwYORyOXZ2dretd7SJ+xNbW1t8fX2RyWQcPnyY1157DVEUEQSBsLAwcnJyePDBB3Fzc0Oj0WBjY0OPHj1wc3OTIuWGhWNRURFyuZz8/PxGz1lZWVnv+4Zovlwu56mnnmLbtm3MnDlTmphvBkEQuH79upQS1VwRo8rKStLS0kwGOpCVlcWFCxdwcHAgJyfHyFBISUlBFEWio6MBY+2BI0eOSH8HBQXh6+srvRZFEVEUb8qBKIoiZ86cqfO+XC4nISGBjh071ultbzjP0qVLSUhI4JtvvsHOzo7r16+zaNEi9uzZw88//2w0ZhMm6iMkJISrV6/i7u7OwYMHpd9D7Sw7rVYrtacCjOrNb8Q4h7r9em+23/mgQYPQarUEBAQ0e5/Vq1cTERHBlClTGDNmTIPbVVdXk5OTIznj/slUVVVx4sQJRFGkurraKDJeWFhIaWkpx48fr+OkvnbtGrt37wbA0tKSwYMHG32u1+tvusa/sLCQK1euYGlpyfvvv09xcTF9+/bl3LlzeHp61ptua2NjQ0xMDPPmzWPBggV88803TJgwgfT0dJ5++mkAUlNTTU5NE43yxBNPcPz4cfr06cPYsWPZuXMnSqWSpKQkRo0aJWVmLFu2jJEjR2Jpacm4ceOwt7eX1glAs1vt5uTkkJGRgSAIqNVqo/1CQ0P55Zdf6t3PIG78d1FeXk52drbJQK/NmTNnWLFiBTk5OWzdupUXXniBkJAQVqxYgZ2dHfHx8UYTZ9euXVm+fDnff/897u7u9OrVC0EQOHv2LI6Ojri5uREdHY1arcbZ2ZmePXve0Hi0Wi3h4eF13re0tOTq1auIokjbtm3rNVBycnLIz8+nqKgIHx8fQkNDSUlJoWPHjqSnpzer7VpeXh5ardY0yf5DkclkdOzYEbVazciRI6murkapVCIIghRZLyoqQiaToVAocHd3rxOlNCwYhwwZgouLS5NGsFwulxadZmZmCIKATqdDLpfz9ttvk5qaip+fHzKZrEFjvrksX76cEydOMHPmTEJDQ7GysmoyHTM0NJT8/HxTGh81CtMGY9hwP9SmsLCwSbVow75lZWUEBgaSkpIizW0DBgy4YUXVuLi4OmMxiL+IooidnV29/3dVVVW88847KJVKDhw4wKOPPkpqairm5uYIgkBVVVWTD2nDQ9/W1tYUKfyH4uTkROvWrTl69GijYphFRUUtcn53d3eys7NveD+VSnXDDvvS0lLkcnmj/Xo9PT2xtrZGqVT+441zgMjISKlc8q9ziV6vJyoqqskyB61WS2xsLG3btkWpVBIbG4tWq8Xf3/+G2+Fdv37dqA2lQZ9IJpORmZlJcXExAwcOrHffFStW8Oeff1JRUcHx48cpLi7mnXfeIScnB5VKRWFhYZNrxytXrmBra2vSdfmHYmdnx4YNG9i1axc7duwAan4XOp1OMs6hpqxwwIABDBgw4JbO1759e1xcXCQxxNatW1NSUtKgU1On07Fhwwb27NnDa6+9dltKfpoiNDSUgoICo6BFS3FX51CLokhBQQGRkZHs3buXa9euMW7cOFxcXIw8yT4+Pjg4ONQ7cbq5uSGKopGXMSMjg9jYWKKioqQFanJysqQ03Rz0ej0xMTFGHnIzMzO8vb0JDQ2V6oIMC0G1Wk1CQoKksO3u7o61tTUymYzi4mJcXV2xsrLC29ub0tJSNmzYANR4aj744APat29PWFgYAwcOZMeOHUybNg1XV1d8fHz49ttvG30Im7h/qaioIDw8XOp/rtPpePDBBzE3N6d37954enry9ddfExERQXJyMlu3bjXa3zDxyWQyOnfuXMfTWduQsbW1lTJPFAoF1tbWODo6StuEhISQnZ3NtWvXWLlyJZ999tktGUIlJSXI5XJSUlKYOnUqM2bMaDT6JJfLcXNzIyQk5G9R2LwbqaioICkpiX379nH48GGjz+oTlGpO7WRxcTEZGRnExMRw5coVBEFAFEXi4+M5e/Zss6OKmZmZZGVlGb3n4uJCnz598Pf3x8HBARcXF6DmvkxOTpbq4c3MzJg9ezZKpZL9+/djZWWFj48Pe/bsASA6OlpaQPzxxx94eXnh5OTE7NmzWbNmDQsWLKBz587MnDmTNm3asGTJkmaN2cT9x6lTp5rspdtUJ4uGqF0+J5PJ8Pb2ll67urpSVlaGq6trs4934cIFJk6cyDfffHPDY3nzzTd5//33G1Vd9vLywt/fHx8fnxs+/v2AXq8nOzub8PBwdu/ebaRlVN+81hy1fkEQSEtLIyoqilOnTqHRaFizZg3PPfccY8eOJTY2tllj02q1UnaTARsbGwIDAwkODpb0jQxERETw8ssvSxmk8+fPx8nJiczMTPLy8njppZek+7O6ulrKqsjOzmb06NFYWlri4uJCYGAgX375JV5eXvj4+ODs7Eznzp2b1TbQxP1Hbm4uycnJ0uvaDqxBgwYxa9Ys5s+ff1vO5ezsTF5eHjqdjuLiYnQ6nVHQKDs7m2XLlhETE8OWLVsYO3Ysp06dQqFQ/C2Csfb29ri5uREcHFynO1dLcNdG0DUaDYcPH65jdCclJZGXl8fmzZvp06dPg/ufO3eORYsW0aNHDz7++GNpYlKr1Tz33HPodDoWLVpEZmYm/fr1IyIigm3bthEREcGTTz7Z4HGrqqq4ePEi2dnZdSbrqqoq0tPTKSsro7q62ujhnJycLEWi+vbti7m5OXq9Hp1OR0ZGBidOnMDS0pJr164hl8s5d+4chw4d4tVXX+XcuXMA0mI1IiJCOq5er2fGjBlMmTJFSjtdvHixaQH6D+DSpUsMGDAAb29vpk2bxvr164GaKIC3tzfR0dEIgoBcLuff//43gwcPpn///lhYWGBnZ2fkAa2NhYUFlZWVyGQyunXrRmFhIT4+PqhUKtRqNcePH5dqMmsTExNDZGQkERER7NixA4VCQXFxMUeOHMHX1xc/P79mqw5rtVoqKipwcHCge/fuhIeHN2lM9urVq1nHvl85ffp0o9G5+oQ0m8O1a9fYuHEjQ4cOpUePHtL7RUVFFBcX4+bm1mA9rCiKZGdnk5qaWu8CLy8vT9JDqH1/FBcXS1F1d3d3LC0t8fb2prq6mp07dxIbG8vFixcJDAyUsgTs7OxYtWoVc+bMkY7/ySefGJ3PMJe+++67vPvuu0CN4yknJ8cUQfwHEBsbW0ecEGrmm0uXLhEYGFgnFVmlUuHk5FRvFgrUOAYN6Zy+vr5UVFTg6upKq1atpEhlWVmZNN825RyoTUJCAmVlZRw7dozJkyc3e7/jx4/zf//3f4wZM6bBrjCtWrVqdurp/UhhYSFRUVENOn2bEkxtiOzsbGbMmIFSqeSHH36gpKSE8PBw6XgajYY//vijwf3VajUXL14kJyenzhjUajVJSUnk5OSgVCqNepq/8MILpKen4+DgwPvvv0/79u0l3YTly5ezZs0a/P39pe2trKxYsmSJNA9CTXlYfn4+L7/8svSeKIokJCQY1Q9/+eWXvPTSSzf1/Zi4d/jjjz+YMGECI0eOpHfv3kbZHI6OjkRGRnLkyBEeeughoOZ5/uWXXzJ48GAeeeSRBgOHlpaWUkmNj48PWq2Wdu3aoVQq2blzJ5GRkQQGBlJYWMhnn32Gr68vvXv3ZseOHURHR5ORkUG7du1QKBR4eHjQuXPnRu2228WNdB66Hdy1Brpara43Ih4YGMjJkycZOXJko/unp6cjiiIpKSlGXu2oqCjJO/7hhx9SVVXFmTNnmDFjBmfOnGHs2LFUVVVJPSQND+vKykri4uIoKCho8Jyurq5oNBoKCwuRyWQUFRVJE2i7du1Qq9VGaRE9evSgsLBQShtWq9X4+PhI0f0hQ4Y0q16t9sJbEAS+/fZb5s6de8PppybuHbRaLVOnTiU7O5vc3Fy2bt3KlStXiIqKQqPRUFxcLD3cLS0tCQsLk+riKisrGzV2KysrcXV1pWPHjtjY2FBUVCS11misjq5bt26Ehobi7+8vbbdu3TqOHTsGQNu2bVm+fHmzWrxcv36djIwMZDIZrq6urFq1Cnt7+wYj8kqlsknxuPudpvQDbpY9e/YQFRVFenq6kYEOxveDTqczEkdKTEwkIyOjwaiTg4MDlZWVmJmZUVRURHp6uuQtt7Ozw8nJCZVKJZU1vPjiiwiCQK9evRg4cCAymYxHHnmErKws8vLyePvtt5sdnapNWVkZBw8eNGl+3Of8/PPPrFy5kunTp9O/f38uX74srQVWrlxJdHQ0jz32GNOmTTPazyBI2xAGDZuwsDCcnZ0pKysjMjISURQlZ+fNMnr0aCwsLOjSpcsN7Xf+/Hn0ej3x8fENbtO1a9d/dKlHUVHRLYv31Ud6ejp6vR69Xs/FixcJCQlh/PjxXL16lcLCQiZNmiRF5w26SIbxXLhwgZKSEoqKinjvvffw8/PjlVdekY5teMYZnOMVFRWSGNwbb7zBhg0bGDduHFDjeNy9ezcZGRlERUUhl8uN1q+JiYlGxvmNMHv2bJ5//nlTB4D7GIOjqaSkhPj4eDZv3szYsWNJTU2VyslkMhleXl5SOcjRo0eJiYkhMTGxTieK2mg0Gnx8fPDz88Pc3Jxjx45x6dIloOY3Ydg3KiqK3377DUEQ8PLyIiMjg/bt2/PUU0/RpUsXzpw5w8aNG0lISMDDw6NFjXRHR8e/3Yl/VxrohvTG+vjxxx8pKSkhNzeX4uJiWrdujSiK7Nq1C3Nzc4YPH87Fixf59ddf6dWrF88995zR/p06dZL+rqqqQiaT0atXL9zc3Pjggw8AOHjwICqVilWrVnHp0iV++eUXrl69CjTcMsXJyQlBEAgNDaW0tJTS0lKjOnInJyfJy2TAzs6O4uJiQkNDKSoqIjQ0tE6fy5shLy+P69evmwz0+xRRFHnvvfckw/fTTz/F0dGRN998k7lz59KtWzf69OnDzJkzJS9lSkoK27dvZ8qUKfj4+NS7MKmt0J6bm0uHDh3Q6XSUlJQYnbshbGxsWLBgAfv37+fMmTN07dqVkJAQTpw4gSAIZGRkMGXKFDZs2NCkuIaLiwsLFiygurq6WemXf0ft0d1MTk7OTaflNsWwYcNIS0vjkUceqfOZTqcjOjpaUoOHmshcSEiIVHZRG0P9moWFBXK5HH9/f5ycnEhLSzNqDahQKOpoglhZWTFjxgzGjx+PVqvF2tqaTz75RFKej4mJuelrrN3v2sT9R2lpKbNnzyY3N5euXbsyatQoevbsKYnD2draIghCg87D2tobBmoLvomiSGZmJs7OzkY1k81JiW4MS0vLRgXeGmLixIl4eXk1GPEJCgr6R/fC1ul0kkFwuzG0hZTL5VKZ4zPPPGO0TWRkJBUVFSxbtozk5GQiIiI4d+6c9H9y/vx50tLSuHz5MjNmzEAul+Ps7IxKpSIkJISMjAzkcrlRu6dXXnnFyJgHGD58OK+++ioHDhxgwoQJbNq06bZcY2VlJWVlZSYD/T5Fo9Ewa9Ys0tLSUKlUPPHEE/j6+rJlyxYKCwtZtWqVJLy9YMECyck0YMAAUlJSGsxmrL3GvHLlCv7+/mi12gazioKDg/H19cXf35+jR48iiiJpaWm0atUKa2tr+vXrx+nTpzl+/DiVlZX89ttvjBkz5rZ3wKpvPfJ3cFca6IcPH25QvGjgwIEcOnSIHTt2sG3bNlauXIkoimzcuBFBEPjqq6/o2bOnFE2ysbFh+/bt9OzZEw8PD+zs7LC2tqaqqoqOHTsyYsQI+vTpQ15eHrm5uQQEBHDt2jUuXLjAvn37kMvlzJ49m8OHD/Poo48yffp0oCbC9+uvv/Lss88yZMgQoqOj0Wq1ZGZmEhAQgIuLC3q9nvz8fOLj47l06RKxsbGsWLECpVJJXFwcBw4cYPny5dJDvL4F7c1QUVFBaWkpdnZ2WFhY3LR6qIm7E8N9o9fr8fT0pE2bNpw6dYq33nqLM2fOcPXqVcaMGSPVnj/00EMsXryYy5cvs3PnTmbPnl3vcZ2dnZHL5VKd8PHjxyVVeMMC1c/Pj/z8/Drp7Z6enmRlZREbG8tXX32FIAh8+eWXfP3110Z17oIgGNX2NdZBobkTokwmu+2tE+8l0tLSOH/+fIsdv23bto223gOMIjOlpaWS86g2crkcV1dX3N3dKSsrIykpievXrzNs2DCCgoIkwcFjx44hiiK2tra0bdsWe3t7srOz2b9/P++9956Uxl9eXn7bIoA//fQT06dPp7Ky0uTYvA85ceIEzz33HBEREYSFhREVFYWvr69UdvHKK68wfvx4nJ2dMTMzM8owUqlU9Tq/5HI5PXv25Pjx40BNxKmyspKioiJsbGxQq9UoFAqCgoKk0goDFhYWmJmZ3VbtGMMi19bWFisrK4YNG9bgti2tPnw3U1VVxaFDh25Ykb+5GIxzvV7PmTNn6Nevn9HnOp2OkydPsnr1anJycpDL5Tz55JOkpKTwyiuvMGTIEHr27MmwYcMoLS3FwcGBkJAQjhw5gkwmw8PDAx8fH3Q6HXq9ntTUVFJTUzl37hylpaUsXLiQ2NhYvvvuO/Ly8vjtt98AJL2O24WjoyNlZWXY2Nj8ozMx7kdWr14t3TfV1dUsXrwYtVrNwIED0el0UmaOj48Pbm5uKJVKqqurcXBwYMGCBUYK7rXx8/Pj6tWrVFRUIIoikZGRVFZWGmXede7cWWrX6+DgwMqVKwGYO3eu1Nbt8uXLhISEEBcXx8GDB7G2tmbLli0oFAr8/f0JCQm5rd+HmZnZHWl7fVcZ6IWFhRQXFzeqLGwQ2pgwYQJQk1Lh6uqKIAgolUr0ej2tWrVi/Pjx9OjRg/Xr1xMREcHOnTv56KOPcHZ2Zt26dWg0GinCffr0aalmu7an3CCcZYj21H6Y7t+/nx07dnDs2DFyc3MJCgoiKysLT09PRFGkW7duJCUl8fnnn2Nubs7MmTOBmsVr7969eeutt9DpdAiCgL29PdevX6eoqAilUolcLr9lz/uYMWNITk4mMDCQvXv34uHh8beIGphoeebNmyd5IUtKSpDJZBw6dEiKIE6bNg1/f3+cnZ2xs7NDEARefvllNm/ezJgxYxrs5fvXNM7aJSYdO3akrKyMdu3aERAQQHl5OTk5OSQmJgI1AmAymQxfX18cHR2pqqrim2++kRa2/fv358knn8Ta2lpK04uPj2fp0qX4+PiwYsWKm37IBwcH39R+9zpVVVVkZWUZtYS6mxEEgczMTNq0aUObNm0oKiqS5uD09HTOnj1Lq1atJEPj+vXr/PTTT7i5ubFp0ybOnz+PKIrSAlgQBCwtLamoqLjlsZ08eRIrKyuqqqoIDw8nKCioWZ00TNz9ZGZmUl1dTf/+/enfv7/0vkHTBWoydkJDQ7ly5QpFRUVSGz+gQdVug6p3bQzq75aWltjb2+Ph4YGLiwseHh5otVoiIyMRBIHKyspbfsbXpqSkhBdffBGAr776qtHa8n+qKrcoilL3nKaU2G8FLy8v2rVrR2pqKjExMfTr149t27axZcsWZsyYwebNm42etWPHjuXMmTPIZDLWrl3LsWPHePfdd8nJyeH06dMsW7aMffv24e/vT3l5OY6OjhQUFNChQwcUCgVffPEF1dXVvPHGG8hkMn788cd6gz31aS/cCkFBQSQnJzNp0iQ+//xzSfTYxL2NTqdDoVDUaQm5YsUKAB588EHeeustysvLGTVqFCkpKej1eumZ3Jh2Q1JSktFrQ3muTqejQ4cOVFdX4+HhQZs2bSgvLycxMVHS7tBoNFRWViIIAhEREcTExEhlKmq1GhsbG8l5VVxcTHV1NRqNhuvXrxtlTt8Mf3ftuYG7xkAvKyszEiBojNrKlqdPn8bb2xuFQoGPjw/Dhg2jf//+ktiQ4d+ioiKmTZvGxIkTGTduHBqNBq1Wy+7du9m8ebN0PMPNpVKp6NKlCzNnzqRVq1YMGDDASGDDIJhgSD8zLDo3bdrEunXrJMPlww8/JCUlRdrv119/5ddffzW6ntLSUkngTa/X4+rqWkft+EYxlAgkJSXh7+9Pr169OHr06C0d08TdQX5+Pkqlkm7duknp6h06dCA4OBgXFxf69u2LXq+ntLQUhUKBXC6nQ4cOLF26FGi4l69WqyU1NZWAgACjrAuZTCYJchiwtramffv2tG/fnrNnz3L16lWsrKxwcnKSUu2jo6Pp0qULqampPPnkk8TFxVFUVER8fDzt27eX+skaxMBu5uHu6en5j22pVrsl0J1GrVazatUqfHx8ePbZZxvd1sbGRtJFqKioICoqiqioKCIjI3n66aexsrIiKSmJ//znP3UyNdq0acO0adOIiooiIiLillv5Gai9YB86dCgqlYq4uLgbbotk4u6jOb+Rqqoq1Go15ubmdSI/oigapWbWpqHFqKurq5FIrJmZGWZmZjz66KOUlJRw/PhxbGxsblsEXa/XS2NpKjL84IMP3pZz3mtkZGSQkJDwt5xr/vz5HD16lIcffhiocQBWVlayatUqo4wyqCl/fP/99/n555/5/fffpTlv9OjRFBcXS2WaHTp0QBAElixZwoEDByTn/J49e4iJiZGilrcrE7MpDGvMzZs34+fnx5NPPklQUNDfcm4TLYcgCFL7aCcnJ+m+KikpkTJvPD09CQgIQKVSSVobt7IWsbS0NLKvoGad0KNHD0RR5NixY5SVleHo6EhOTg7m5uacPXvWaP4dMGAAMplMKmWqzaRJk3j66advamz1dTf6u7grDHRD/VZz6dChAw4ODlRUVJCamkpISAhz584lJCTEKHUrPj6eo0eP0r59e+RyOampqZSXlxMZGclHH32Ek5MTtra2aLXaOjVmY8aMoUuXLsyZM4cePXrUqe3x9PSUanuSk5Px9vZm9uzZfPnll0BNzULHjh3rpLbVh+G8CoWCiRMnMnToUGxtbfnyyy9vS1qSXq+/IeVYE3c3v//+O4sWLWLv3r2cPHkSURSZNGkSy5Ytk/qgG6JDrVq1avYi8KOPPiI2NpbHH3/cSLuhPmXj2oSEhEhR7KqqKoYPH05ycjIlJSVMmDABURTZsmULP/30k5QmdOXKFal+zsHB4YbTh5ycnAgICDBSlv0nYWhBcrcQFxdHbGwsJ0+eZNy4cY32I8/MzMTf35/8/Hyio6OpqKjg9ddfRxAEdu/ezRNPPGHkNK3N8OHD8ff3Z9OmTTg4ODBs2DDi4uKwsrKSUo1vFYOxczd9vyZuHm9vb1JSUkhLS8PFxcWok4TBSCorK5N0W5RKZZ2OAzdyL9jY2Bi1Bvor9vb2PPLII8hkMnQ6HTKZjIKCglvSn3F0dOTzzz8HMGopa0ChUNC5c+ebmmvvB/7at7ml8fDwMDIIZs2aVadNqOHvdevWoVAomDx5MmFhYXh5eXH27Fl8fX154YUX2LNnD8OHD0cQBB5//HGOHDkiHUOpVPLtt9/ekNidk5MT1tbWZGRk3LRSfW10Oh1LlixpUrjZxL2BmZkZHh4eUptrgJEjRzJx4kRpfhRFUcrcs7a2lnRgbpbGItQymYx+/fohiiJZWVkUFRVJvxe5XE5SUhJyuZyKigoOHTpU7zH+6uhvDj4+Pnh6et7RcqA7bqCLosipU6fIy8tr9j5t27blu+++IzY2lvDwcEaNGiX1z61NbGwsarWa1q1bs2rVKlJTU/H395cWfwUFBcydO1fqi7p//36sra157rnnWL9+Pb/88gtQE6kyGOharZZt27YREBDAjh07SEhIQKvVEhAQwLp166Rz6/V6zp07h4+PD2lpac26LjMzM5544gnp9bx586So/K1GihISEiRRPRN3L1evXkWlUuHu7t7gNh988AF79+6VXhv+Tw19pJOSkqSF541EaKytrREEQTKcVSqVVAfcFIbzGcoo5s+fz7lz59Dr9bz++uuSV9/X1xdLS0vS09OlsTW2mK0PZ2dnwsLC/rHpdAbD9m7h4sWL7Nu3j86dO9O9e/dGjXOoibw4Oztz8uRJoKbXs2GhWFVV1ahi9p9//smuXbvIz89HJpMREBDAk08+KT1HiouL2bRp0y337BVFkR07djTYosrE3YFGoyElJYWQkJAG54PS0lKWLFlCTEwMZmZmRhlsgwYNIjw8XOrYcqsLTWtrawIDA5s0gg1jNdRe3o6U84b6q6tUKnr37k2rVq1u+Rz3IjqdjiNHjtyWUpibrblu27YtgYGBJCUl4ezszKuvvkpiYiI//fQToijy+++/M3z4cEJCQjh48CCfffYZLi4ulJWVoVarCQkJ4bfffpPmzNrXdiNrTKgphygsLMTMzExSlzd0abkVxo0bJxlLJu5eEhMTadOmTYPzgV6vZ9++fUbvde7cGWtra4KDg8nNzSU/P18Kat7KnGlhYYGjo2OzjGCDVpHBAbl48WJmzJghZSvX1uFxdnaWdMhmzZrFwIEDmz0mQ6lmx44db+RSWoQ7/kvSarU3ZJzXip2qsQAAIABJREFUpnv37sybN69e4xzg6aef5oUXXuDNN9/EzMwMT09P3nzzTdLS0mjfvj19+vShsLCQ7du3k5mZyffff8/mzZsJCwuTPOYymYzx48dLx4yMjGTr1q188MEHjBw5krZt2zJp0iSsra2lVA+lUik9eAMDA+soyTeETqeT0kQM7dJ++OGHBq/vRjEozZu4O0lNTaVDhw74+/tLtYwGDKKEI0aMMFpgOjs789hjj6FQKAgLC8PDwwMnJydCQkLqTMAKhcJI9fWvzJ49m6+//pqxY8cil8vp378/ffr0uSkBNi8vL9q3b8+VK1ck41ylUuHj48PZs2cpLS2V0vQnTpzYZATAsCBq06YNPXv2/Mca58BdV3O+bds2EhISqKysbFarMnNzc/Ly8qT/Qy8vL1xcXLCzs2P06NF89NFHDRr5qamp0oN30KBBBAcHS/eOk5MTERERKBSK26IuvHDhwtvSVcNEy/HII4/QvXt3PvvsM6P3dTodO3fuZN26dZw4cULqwlJVVSUpZQcFBWFhYYGvry/u7u51RCnlcvkNtdXp0KEDAwcOvCntAqVSSd++fW/7vKZQKBg4cOA/1jiHmtrr22Gc//HHH0ycOFESrbpRPvzwQ3788Uc2btxI586djQyA2vXhWq0WnU6HXC5n9OjR+Pj44O3tLXVTcXFxMVLgnzJlyg2V4uh0Okn89dKlSxw/fvyGneT1YXCUmbh72bVrl+RIr40oihw8eJCHHnoIW1tbo2yThx56iJ49e2JtbY23tzf+/v44OjrSs2fPOpmVSqWy2VpXFhYWDBo06KbbPYaEhDB06FCjMYSFheHi4mLUcrZjx45NBg3gf2vMBx544K4wzuEOR9ALCgrIzc3Fy8uLuLg4Fi5ciKenJwsWLLgtDyobGxsef/xx6fXly5dJSUlBEAR++OEHWrVqxcGDB5HJZGg0Gild1snJiVmzZhEREYFSqWTbtm3o9XqefPJJunbtStu2bQkODmbkyJHMmTOHrKwsWrVqxd69exk+fDj79u2jpKREaitl6Gve0MLa1dWVkpISlEollZWVlJaW0qpVK7755hsAaXHREDKZDIVCYeRUqM/gEQQBrVZrlOJn4u5BLpdLAliG+1+n07Fu3To+/vhj0tPT6+wzdepU4H91kkqlkl69epGamipFEc3MzOjXrx9WVlaSUE59/aLlcjkuLi706NEDR0fHW1L/l8vleHp64u3tzfDhw6mqqmLmzJnExsZy4MABZDIZ06dPp7q6mrlz5zJ06FBmzpzJd999R1FREa+88orRRN+rVy/s7Oz+0R0JqqqquHTpEh4eHlRWVrJ69WpOnTrF4sWLb8sC62Z5+umnqaqqqrcHae25SCaTSWVIhpYp/fr149133yUvL4/27duzceNGcnNzWbx4MYsWLWrwnGvXrsXb2xu5XI5SqcTFxYXRo0c32wFZWwSsMU6dOlWn97uJuwdDDWTtBdiVK1f46quv+Pjjj5HJZKxfv57ly5fzxRdfMGzYMKncy8LCAplMRlBQEJWVlUapw506dZJ+U1qtloiIiAbbGPr6+uLt7X3LPXJbt26NlZXVLUfxoSaSbxDE+yfPmRkZGZSXl+Pi4nLTgSADhYWFdXqJ3wgKhcLIURIUFESfPn24ePGi0dxp0B8SBIH58+fj4+NDv379uHjxIi+88AJr164lIiKCzMxMBEFg/PjxdO3alXHjxjV473Tr1o2EhASsra3R6/WMGDGC1NRUqdtGU2tMMzMzHBwcyMnJaXS7po5j4s5iSE+vrZp+9epVBgwYUG8WRteuXZkzZw6ANMc6ODjQu3dv4uPjJb0Le3t7evbsiUqlQhAELl682GAbQ3Nzc7p3707r1q1vyc5TqVS8+OKLdOjQgU8//RQfHx8mTJjAO++8I/3WFQpFs2vjH374YWk9cbdwR0dy6tQp9Ho9rVu35vLly2RnZ5OZmUlVVZXR4jwlJQVbW9tbUtVNTEyksLCQCRMm4OjoKE2UgwcPpl27drRp08Zo+6FDhzJ69GhWr15NXFwcx48fZ+rUqYiiyNq1a4Ga2rbY2Fjs7e2xtrbG19dXEtSysbFhzJgxWFlZMWDAAA4dOsSjjz4qiZRYWlryySefcO3aNSZPnvz/7L13eFRl+v//OtMymSST3gvpCUlIAoTegx0LYsGyWHZxWUVwRdxVFwuIrqAiKou6LoogLgq2/aA0kRo6BAKEEEiAEEJ6L5Np5/dHfnO+GZKQBEJo53VdXsLMOWeeGWae89zPfd/vNxaLhaNHj/K3v/2No0eP4unpiYuLCzU1NSgUCkRRlNQ7zxesEUXR7u+urq5UVlai0+kYNGgQGRkZeHt7M3fuXDk4v4oJDQ0lNzcXlUpFQUEB7733HllZWZLdRXP8/Pyor68nIiJC6hlqTmZmpvRno9GIVqvFZDKxffv2C+oR2FSHuwIXFxf69OnD9OnTpWsHBQWRkJBAQ0MD3t7efPnllyiVSoqLi6muruaHH35AoVAwevRokpKSgKabxI2oOnw+OTk55ObmIggCzs7ObNy4kYaGBg4dOnRJAbooiuzevRsfH58Oec6fT2RkJG+88UYLdwC9Xk9DQ4MU2PTo0YNz585x4sQJ3N3dUSqVuLi4MH78eH799VemTJmCh4cHbm5uPPPMM2g0Gv7xj39Ic1tCQgJRUVFMnDiRW265hbNnz3Lo0CEsFgsHDx6UbvZ9+vThwIEDFwzWmwfnHh4elJeXo1arCQ8Pl3xW77vvPiZOnNjpz0Om+1i1ahWnT58mMjKSEydOUFJSwoIFC1i+fDlWqxWdToeDgwMuLi7Sho9arUar1UpuEtBkKdlcVd1WpmtbaLb1XVKpVERERHSZQ0q/fv04fPgwVVVVBAQESM4HnekxdnV1vWGF4JpjNBolO6iuuKc99NBDxMfHtxCzuljUajUzZsyQ5jer1cqRI0dITU2loqKCMWPG4ObmxrZt23jkkUdoaGjgT3/6E46Ojnh7e+Ph4UH//v1RKpWMGDGCtLQ0br31Vin7qdfriYuL4+6772bq1KmcOnWKm2++mXPnzrFixQq7QMS2pjxfi8mG0WiUgnNBECStG71ej0qlksrwFy9e3CWfjczl4Y477iA7OxsfHx/Wr1/P9u3bmT17dqsaG3PnzqVnz54IgoCDg4PdGsOWgLRhMplQq9XU1NSwc+dOO5vK84mKirKbey+FwMBA+vXrx6xZs3B0dMTDw4OxY8eyf/9+wsLCJM2a9khNTb0qrXqFzkz8KSkpos3K6WKxSeIrFAq7vheLxcKqVavw9/enf//+0uNZWVm8/PLLKBQKvvnmm4u6EZpMJh544AEEQeCVV17pVEakurqatWvXMmDAgBaLYF9fX4qKitBoNNxyyy3tXstsNrNo0SLmz5/Po48+yowZM4Cmz+TYsWOUlJTw0ksvSWr2jo6ONDY2olKppC/82LFjUSgU7N69G4VC0WLHcvfu3SQlJfHGG2/wz3/+k8DAwE4J8MlcHQwYMKBFvxk03Rz//ve/M336dJRKJUVFRYSFhdlNLqWlpXb2Pw4ODtx0001kZma2ukvq7OyMm5sbkZGR3WKVYjAYqK+vp6GhgZKSErZt24afnx9arZavv/6a0tJS/vrXvxIUFERDQwN9+/bt1slTEIR9oiimXOp1umK+hKY+W6VSybZt2+xKNY8cOUJmZiZ33XXXJZV07927l7fffhuAFStWdCjj1laVzoWwBfCCINCvX78OLZp37tzJ0KFDUalU5OfnS/1nFRUVbNu2jTfeeENSzI6MjESlUpGbm8vHH38sBWgWiwUHB4dW9RjGjx/PsmXLyM7OJiEhAaVSyfr16xkxYkSn3pvMlaWgoID09HQWLFjA2rVrUSgUaLVaPv74Y4KDg0lOTkar1XLu3Dnc3Nzw9va2O3/VqlV2fx84cCA6na5N0aHAwEC8vLwIDAy87D23FouF+vp6qqqqMJlMFBcXU1tb2yIzFB4eTklJCTExMd1uEXg1zZkWi0WqRGytUuxqZcqUKZw6dQoHBweWL1+OSqWSNg+9vLwYOHBgu9eor69n4MCBHDp0iLfeeotXXnkFaLqHPP3006Snp3PkyBFpI9XT09OuvN5Wjenj40NBQUGL66vVavLy8tDr9dx+++1s2bKFe+65h59++qmLPgWZ7sLJyanV1g+lUsmXX37JnXfeidFopKamhvDwcLt5LiMjwy728PPzIyUlhc2bN7eaAAoMDESlUhETE9Mta7mCggLJFauwsJCGhgbJ9cC2bnF1dZXcNZKTk7u1bbKj82W3Z9BtlkzNe2igKaj4+eefCQsLswvQ6+vr7Tyf2xJCOR9RFNm/fz/5+flUVFQQExNDQUFBhwSvmqPX63nggQdafc7Wi9FR4bXi4mKCgoJ49913ueOOO6THbaWr0CQMd/bsWVavXs2ECRN47bXXyM/PlwL0HTt2tKlGqlKpSElJQRAE/vSnP7F3794O97/LXFlOnDhBcXEx0dHRaDQahg8fTm5url05nZOTE0uXLsXFxYUdO3ZIk43JZLLzAj9/UTJq1CgEQcDd3b3VAH3QoEFdlgHqCFqtVgooAwMDSU5Olp678847u20c1wLV1dVs3bpVylo0Jz4+vktEzHx9fVEoFAQHB3c42OhscA5NWazg4GCpeqIjlJeXs3LlShITE+3UqY8dO8aaNWukTLlSqWTGjBncfPPNPPfcc9JxtgVIazv6d911F3PnzkWpVBIbG8vUqVMpLi5u0Yssc/VhNps5efIkoigSGRkplQWfOXMGURSJj49n1qxZKJVKlEql3YalQqGwu/+eH4jExcXh5eUlKayf/13v0aNHt/ba2ipNbGumi6lyuZHYtm0bNTU13SKIaxN4s1qt3HPPPZe0yLf9+9psraCpz7aoqKhFhVxbnDx5krfeegu1Ws1tt90mPb5582aWLVsmfacFQUCv17Nw4ULGjx9vdw2z2dxqcA5Nm0C2zZ833niDN998k5deeqnT71Wme7HFQ9CklVFTU8PNN9/MqlWrWtgy6vV6PD09pfYHQRBwdHSUqozNZrNdcK7RaKSedi8vrxYBulKp7PYAuPnv5fzq6GuJbg/QbeWOtn9ELy8v6uvrycnJoaKigrKyMs6dO4fJZCIkJERSfVYqlTg5OXX4dbZt28b7778vZWyee+45Ro8e3e55paWl/Oc//2HYsGEMGTLkgse6ubl1yubJy8sLLy8v9Hq93UJYo9EQEREh7fDodDp69+6NSqUiOzvbboFgK8Ozlb/buO+++xg/fjyHDx+mV69eREREsG7dug6PTebKsWPHDqlfMDg4mPj4eCZOnMiIESPYsmUL7777LgDR0dEEBARIAhi278Xp06cxGo2SVUVz274RI0ZgNptRKpXSBG3D0dGxQ78JmSuHbbEmiiJGoxE3N7cut00MDg5mxYoVl/0GGhoa2ulWhaioKEpLS1ssUKOjoxk7dixVVVWcPn2arKwsxo4dS/Psm03PoTVfaIVCwWuvvUZOTg6+vr44ODjwwQcfXNwbk+l2fv/9d4xGIxs2bGDdunX85S9/ISwsTGqdsFlD2jKQzRFFkbVr1zJy5EgcHBzs2h1sG0GiKHLgwIEWwfnQoUNvWGvHawVbQqeiogKFQoGbmxs1NTVtaghcCvn5+SxatAhBEOjduzc9evS46GvNnj2bY8eO4efnJ7VhNN+Y6QjBwcFUVlYSGhpq9/jw4cN58MEHKS4uRq1Ws2PHDiZOnNjqb0OtVrf6WYWFhfHee+9x+vRpevTowahRozqlji1z5Vi4cCHPPvss0KR1MW7cOCoqKtDpdHZrib59+/LHP/7Rrs3BNhcajUbCwsLsvhvOzs4MGDAAk8mE0WhskQCyZdZlLo5uD9ATEhIoLCyUbny2DOGAAQP485//jKenJ1OmTMFqtfLBBx/Qo0cPli5dKi22NmzYQHR0dItMuMFgwMHBQVpkfvPNN1gsFkm9PTExsUPj++2330hLSyMzM7PdAN1oNCIIQocUAqEpEG8tOyMIAj179uT333+nrKyM9evXk5mZyU033URycrLdQkEURWbPns3HH3+MWq2WJtj8/HwmTJiAxWLho48+4o477uhURkzmymG1WqX/Tp48yenTp7nnnnvw8/NjxIgRLFy4kLq6OuLi4nB3d2/hgW0TfrORkpLCrl27sFgsbN26tdWbrUqlkoPzawBXV1c7gSObkm9xcTHffPMNo0eP7pJsXnfsbldVVeHs7IxGo+nw60VFRbXaQ+bh4UFERAQPP/wwBw8eRKlU8uuvvxIdHS31U4qiiMVikebnsLAwSajTarXy6quvsm7dOgYPHszdd9/NvffeS2RkZNe9YZnLhu1+uHz5cgoLC9m8eTNhYWGSaKutHa2urg4vLy+7SiRb1VFVVRU+Pj5ERUVRWFhIXV0deXl5kk7M+cjB+bVB79692b59O9D0Oz8/CO1K/Pz86N27N1artcNZ7rawtX1u2rSJV199lV69ekkZ744K/en1+lbXrTqdjvnz5xMeHo7ZbGb06NGkp6cTGhoqrSmaH2vTPmq+zqioqOC+++5DpVKxcOFCXFxc7ESYZa5ezv93XLJkibRxPW3aNLy9vbFYLPTq1Yv4+HjJusyGKIrk5eURFhaGo6OjZBnY0NDA77//3mpFnZeXlxycXyLdHqA7ODjg5OREbW0tzs7O1NbWAk3Zvttvvx2DwYBGo6GxsVEqu7X9/5dffuHzzz/HxcWFL774Qlp47d69m9mzZ9OvXz9JCCY+Pp78/HxeeOEFBg8e3OHx3XXXXRw+fJiRI0dKj1ksllYnyPXr1wMwbNiwLrExsVqtfPjhh1Jpyc6dO1m0aBFhYWGMHj0as9lMZWWl1LvenOa+yJMnT2bkyJF89NFHdqXPMlcnQ4YMYfny5cybN08q2bS1cqhUKh5//HF+//13AgMDOX78OElJSRw4cEA637Z7X1FRgUajsetNbC049/T07DKhG5nLT0BAgBSg24LPn3/+mQ0bNnD06FE+++yzKzY2pVKJ1WrtUMn7sWPHyMzM7LISYavVSmZmJq+++qqkHPvVV1+xf/9+3nrrLb799lsUCoX0GzjfRWPNmjVAU7XVtm3b+Oyzz9pUnpW5uhg1ahTr1q3j2WefZcOGDVLJulqtZtSoUVImp7GxkcTExBbK297e3uj1ekpLS9Hr9VIrhG0DrDlOTk74+vp2yKtX5srTXIBKr9e3qj3RVajVat54441OndN83Xs++/fvp7GxkWPHjnHo0CEWLVrEU089xc0339zhRFBbWCwWrFYrBoOBX375BWgqfd+1axcnTpyQSt1tFSXni8XZfhtGo5EnnngCpVJJenq6bK12DTB16lQKCgr473//i7e3N6mpqeTl5SEIAg888IDd/GhrBW4uAqdWq0lOTpbmS9t3obXqNEEQ8PHxuWqsyq5luj1ALy0txdHREaPRSHh4eIvdaq1WyxdffIHZbG7h2RwREYFCoaCyspLp06fz4YcfAk3ZJKVSSUFBAZ999hkZGRm8+uqrPPPMMwiCwNGjR/H39+/Q7reTkxOzZ8+W/j5v3jw2bdrEjBkziIqK4r///S9Dhw4lNjaWZcuWERIS0iHxjo4wfPhwBg0aRFpaGhqNBqvVSk1NDW5ubvTv31/aFW4PURTZuHEjqampl2wtItM9PPDAA/Ts2ZNTp07ZPe7v78+MGTPYsGED77//PmVlZcTFxUm9kTZv8YqKCk6ePIkgCBdUrx45cuQFvdBlri5MJhPl5eVotVrc3NxQq9WcOXOG0aNHk5mZecV79lu7Qbd3bEdtT9ojIiKC0aNHS3Plww8/jNlspqGhgUceeQRfX18+/vjjDl8vJydHKt+UubrRaDTcdNNNAJLbAzRtGAUFBdmVWpaWlkrq1FqtFrVaTUxMDBs3bsRqteLo6NjmBlNISEiHq+9krg7OnDmDq6srRqORmJgY9uzZc6WHZEdbwTnA66+/zpEjR4iPj2fy5MlA0wat7bt+Kfj5+ZGVlcVDDz3Ejh07UCqVktd6899QR7FYLPzrX//i008/veSxyVxeBEFgzpw5jBkzpsWGVUBAAHq9ntzcXAA7/QaNRoMoiiQnJ5OZmUlZWRmOjo5t3sMFQeC22267oa0du5JurX+2Wq3s3LmTkpISjEajXXD+3XffMWnSJHJzc9FqtVIQUVtby6pVqyguLiY2NpZp06ZJtg42br/9dv7xj3/w9ttvs27dOvLz88nIyEChULB161ZeeeUVXnjhhYsac05OjqSa/n//93+sXr2a+fPnk5GRwU8//cT8+fPtAvpLQaPR8O6771JTU0NDQwNr164lNDSUmpoabr/99k6Xq3emd0nmypOQkMCYMWOIiYmRHsvLy2Pfvn24urpKtiaHDx/mwIEDHDt2DJPJRH5+Prm5uYiieMHgPDU1VQ7OrzH27t1LXl4eBoOBwsJCaVc7PDycDz744JppU2guQlhSUnLBRWpHEQSBPn36UFFRQV1dHdOmTcNqtVJcXIxGo2HEiBGdFrOTfx/XDlqtljvvvJORI0dKLRO2tp7m2IJ1JycnDAYDNTU1bN++HYvFgiiKrSoZQ9PmqBycX1tUVlZy8OBBqqqqaGhouOqC8/Y4fPgwOTk5eHp6EhERgSiKLFq0iGXLlnXJ9YODg9m6davkAqBSqSgsLLTTYegMckvQtcXw4cO544477FweMjIypOAcmuK0U6dOodfrMRqNmEwmsrKyJLX/C22wjxkzRg7Ou5BuCdBFUSQ7O/uClhe//vorBQUFLaylFi9ezL///W/ef/99oKkceM6cOcybN086RqlUkpKSgru7O6+88goPPvigJLrl4uKC1Wq96PK0WbNmERUVxfr16yVLq3HjxhEVFUVQUBCCIDB//vyLFm366quv6NOnj524kbOzMwqFgv79+xMbG0tsbCyTJk3imWeeafUaNkVsT09P9u3bxyOPPMKECRPkcs1rEEEQWrXIeeWVV/jqq69ITU0lIyODmTNn8ve//x2DwWDn39sWw4cPR6fTXY4hy1wGKioq2LdvX6slt5fzNY8cOXJRCu3t0VxFXRRFu/K5ztDQ0EBaWhpZWVnSY1qtFpVKhb+/P3FxcfTs2ROVStVmJlyr1eLq6oogCEybNo23336buLg4MjIyOi1iJ3PlcXZ2bncz2mq1UldXZ/d3aFt7wdPTU1Imlrn6sVgsHDp0qEXv7LWE2Wxm4cKFrF+/nn379jF16lTc3NxobGzk73//+0Vf98UXX2TYsGGS+49CoUCn06FSqVizZg1z5sxh5syZbN26lYiIiFav0aNHDxQKBXFxcRw/fpwXX3yRVatWMX369Isel8yVQaFQdEgvoXmmvfnc2RZXuprveqRbStwNBkOL/j8boiiSmZnJs88+y5EjRxgzZozd88nJyWzevFkSGxAEgejo6DZfq2/fvnY31t69e7N06dIOBSet9QZ5enoSHh7OsWPHCAoK4sUXX5SeW758OWPGjMHJyemi+4PmzJnD0aNH+eqrrwgKCsLb21vagXJ2dsbPz48tW7Zw6tQpu1IiDw8P7rjjDkpLS/nvf/9rV77fVbutMlcGm/ggNO2oFxcXM3LkSNzd3RFFEUdHR7RaLb6+vqjVajsBEJ1OR319PQ4ODri5uSGKInFxcXJm8BojMzPTTrinO5g+fTrl5eU899xzdhocF8JWOtwRbC4c9fX1F71hWlJSQmVlJZWVlQQFBWGxWKRrKRQKwsLCGDx4MHv37sXR0dHu3DFjxpCfn8+cOXO49dZb7Z57+eWXL2o8MlcH7W1S2rQbWsP2HQ4ODqampoaQkBBJZE7m2qC4uJi8vLzLsrnYlVyo/1ylUnH//feTk5NDcnIyer2eTz/9lCeffPKi+3lFUWTevHkoFArWr19Pamoq/v7+0vrCFrjffvvtaLVau6BMo9Hg5eXFzTffzBdffGFXwTl37tyLGo/M1YHBYADavn+fP182P0ar1WIwGHBzc0OpVKLT6eR+88tEtwTotgxva6xZs4Z///vfBAYGsmDBghbPDx06lKFDh17S6+v1+lb9TJujUqkwGAwMHjyY9PR0uzKOKVOm8OCDD+Lh4YFSqZR6KW2lVBUVFYwePZpNmzZ1OlD/97//zeeff46HhweBgYHceeed/Pzzz9LzSqVS8q209Qw5ODjw008/MWzYsE5+EjLXAp6engwePJjCwkLJW9XV1ZU+ffrwySefsHr1au68806mTp3awt/Zx8eHvLw8TCYTycnJlywsI3Nl6E7PUBvu7u6UlpZ2KHjWaDQYjUYiIyNRKpV2mau2bvrNd+EPHjyIo6Njp72KAwICKCgoYNOmTTz66KOYzWaysrIICgqSjvH19cVsNkuLTaVSydixY1m5cmWnXkvm2mHo0KHU1NTYiaU2p63gXKPRoFKpqK+vR6/XX1QvrsyVx8XF5YoH5+1tVtrWoIMHD26hJ2RbVz7++OPSn0VRZM+ePTQ2NrJlyxb++te/Mn/+/E6NSRAEvvrqK77//nu++eYbHn/8cd566y0773JPT0+sVqudoKyXlxfp6el286rM9UNYWBguLi6cOHFCKl1vjm2+bK3fPDAwkNzcXIxGI6mpqd0y3huVbilxFwQBjUbT6nN6vR6LxXLZ7UuaT96nTp2y67kRBAGz2YzZbObw4cN2k6ytHMjT01N6H/X19cycOZPnn39eel/bt2/nkUceoaKigo0bNxIVFcUXX3zR7rgGDRrEgw8+SH5+PkqlsoXarKOjIzfffDPbt2+XlO2rqqrk4Pw6x93dnaioKGJiYnBxcZFulOfOnQOaWkLOn1h1Oh0JCQkMGDCAoUOHysH5NYy3tzdAt9okzpkzh2XLltG7d+92j7VtUmZnZ7do7wkMDJT+3Fq7hu38tLQ0jh8/jsViYceOHezatavdbLxKpeLzzz/Dy+RDAAAgAElEQVRnxowZ1NTUYLFYpGyAje+//95OF2Tx4sVycH6do9Vq8fb2lqo0OsqoUaMYOHAgffv2beEdLXPt0Nxi90pxoblLpVIhiiJ1dXWcOXPGrk/XyclJOtcmeAlN69QFCxZICa4PP/yQOXPmYDabWbBgAdHR0ezYsaPdcfXq1YvVq1ezZs0aFApFizXmqFGjOHfunBSIBQcHU1JSIgfn1zGCIODt7U1cXNwFjzs/OA8ODiY2NpaUlBQGDRp0OYcoQzeKxKWkpBAaGtqiV2zIkCEsXbqUmTNndss4Dh06xLRp03j22WftvMVtE6bRaJSykuHh4dx6662EhISg1Wrp06cPDQ0NHD58mL1797bo/125ciXh4eEsXbqUEydO8Mknn7Q7HoVCIflJ/vLLL6xevRqAEydOsHr1as6ePUtxcTHffvstgiDw2muvXfEbkUz3MWfOHJYsWYKPjw8AkyZNQq1W4+Li0iIAt1nqeXp6dontn8yVIzw8nLCwMMLDwy/L9TMyMti0aZPdxqVSqexwK0TzDdf8/HzpsVGjRhEdHY2TkxOBgYEtKjzO59ixY+Tn51NeXk5paWmbgl3NGThwIKIoMmXKFNLT04mMjKSuro5169axfft2BEFg1apVQNMGwX333deh9yRz7dMZVwFfX19UKhWOjo74+fnJ99VrGJsNVERExBX/d2xNJKt5BUdRUZH0PU1MTGTkyJEEBwdLpcK2OfnMmTNYrVa7OfSll16iX79+LFy4kOPHj/Ptt9+2Ox5/f3/0ej09evTg119/5Z133gGQqkIPHDjA7t27pUrNjqxbZa4POuOoolAoiIqKQhAEfH19W7SQyXQ93VLiXldXx86dO7Farbi7u7coN+8Of1E/Pz98fHzIyclBFEU7VWFomigdHBw4efIkBoMBlUpFTEwMSqWS0NBQaXf9wIEDJCUlST0aQ4YMsVONraysZObMmXh4eDBhwoR2xyUIAsOHD0cURbsby86dO3nppZcYPXo0u3btksqP5MXmjYNNIOz06dO4urri5uZGUFAQ33zzDUql0i5Ad3Nzk4J4mWsbURTZtWsX5eXlQOtlZpdCfX09r776KgqFAg8Pj1aVqtVqNZGRkRgMBjvLKhsODg707duXxsZGSSk5Pj5eymCOGjUKgKNHj7bbSy8IAj179kShUHQoA/rUU08xceJEu/mypqaGN998k6KiIsaNG8fOnTuBpgoleSFx43B+NcWFkBXarx+Ki4tJT08HmqqPSkpKun0MISEhuLm5cfjw4RbPCYLAwIEDUSgUkiCwi4sLwcHBCIIgfRdNJhMHDx4EmpJX0JSs+eGHH6Rr5eTksGHDBr777rsOuRP5+PhIAnHN58xff/2Vuro63n77bX777TcpUXW+DpTM9YttjdERIiMjZaHhbqZbAvTCwkKpbKe7hY9slJaWUlhYSEREBIsWLUKn0+Hq6kpjYyONjY2UlZWRmJiIWq3GarUSERHRYie0oqICq9WKg4MDc+bM4dixY9x2221s27ZN2nAIDw8nODiY9957r1PjO3/X98yZMxQUFPD9999LvZt9+vSRPXpvIJycnDh06BCvv/46Wq2Wr7/+GoVC0ULTISwsTP5eXEeYzWa7G2fz3sCuwMHBgejoaEpKSuzK0ZtjMpk4duyYXdmmIAi4u7tTXl5OVVWVZP0XHByMWq1uVRk2Ly+v3fH4+/t3uh3j/PlSq9WSlpaGUqlk3rx5iKKIRqOx67WUuf6xiWReiICAALy9vVts0stcu5w6dUr6c2eCjq6koKCgxXzn6ekpjae+vp7g4GASEhI4c+YM8fHxLeYxWzUSNGUshw0bxsCBA+0C9HHjxtGvXz/69evX4bG1VlXQt29ftmzZwrZt26R1+ZNPPtnha8pc+3h5edlZrLWGzRFFbgHqfrqlxD04OFjqqbwY3nnnHe655542BWDOp3n5pc1Op3mJkYeHh6RY2djYSFRUFLGxsRQUFLB161acnJzw8PCgqKiI+vp6ioqKMJvNdln/6Oho7rrrLqncGJq+yN988w29e/fGx8fHbrLtLM888wwvvPCCXXnTggULurUnVebKYlNrtwUbzW+ygiAQGhrKbbfdRnx8vKzSfh2hVqtJSEiQfuttCVxdLEqlknfffZfFixfj6elptxGp0WgkkaL8/PwWJfDl5eX4+PgwcOBAzGYzGzdupLi4mMjISKqqqqisrKS8vFzqS29PuMnV1ZWjR4/y66+/trtQuBBubm58/fXXJCUlSRsa0dHR9O/f/6KvKXPt0ZZNFDRlEocOHUqfPn0IDg7uxlHJXG569uwprcM60+ZwsZzfQw4t52m1Wk1ZWRkKhYL4+HgCAwPJzMxk3759BAQEoFarpTVmcXExoii2Ol8237z08PAgMjISHx8fu7nuYvjiiy947LHHJF0boNOJJZlrmwtVXTo6OhIXF8ett95Kz54929QRk7l8dEu0p9FoiIyMvOjzt2/fjtVqZe3atR063mZTZRNUa83bNjExEU9PTwICAoiOjkaj0VBVVYUgCJSUlLBr1y727NnDtm3b2Lt3L4cOHcLDw4P4+Hi0Wq2d+vB7773HmDFjWLhwIadPn+bQoUNUV1eTk5PT6ffa0NBAaWkper2eP//5z3aT/htvvNHp68lc24waNYpFixbx6aefSgG6UqkkNTWVhIQEVKpuKYKR6WZCQ0M73Uu5cuVKpk2bRkFBQYeOz8/Pl8ocoUnk6MsvvyQnJ4d33nmHp59+WnKUcHd3Jzo6Gr1eT2xsLJ6enphMJqkCKSsri7S0NNLS0tixYwdbt27FbDYzfPhwXFxc2tREqKqqIi8vD6vV2qqabHtYrVaKioowGo088sgjdnP94cOHO9TTLnP90JYrQM+ePenfv/9lF6OVuTK4uLjg5eXVba9nsVgQBAGFQoHBYGi1jaZPnz7o9XoiIiIIDQ1FoVBQWVmJIAgUFBSQlpbGnj172LJlC3v27CEvL4+wsDBJ86h5u88///lP7r77boKCgnj99dcpKysjMzOzTcu2C5GRkcG+ffuIiIhg4MCBds9NmTKl8x+GzDVNa21ljo6OjBw5kvDw8Cuu6XAj022re09PT3x8fKRSmvZ2/hoaGli9ejWJiYkMGDCAjIwMxo8f3+HXE0VRyj6fr1rp7+9PcHCw5HVqs+Px8PAgJyeH+vp6adGq1WoxGo3U1NRQUFBAWFgYYWFhiKLIL7/8Il3vL3/5i3T9L7/8Ep1Oh4+PDxkZGVJ/0YEDBygrK2PAgAFtZjy3bt2KyWQiPDycRx991O65jRs3dvj9y1wfJCcnEx8fz8GDBykqKpJ22Y1Go9xbe53Tu3dvDhw4gKOjYwul9Nb49ttvMRgM7Ny5k3HjxrV7/Jtvvsm5c+c4evQoDzzwAFlZWXz33Xf88MMP9OrVC0EQMBqNaLVakpKScHZ2Jjw8HJPJRElJCe7u7qjVaoxGo1TaqVKpsFqtKBQKjh49SlxcHCNGjAAgKyuLEydOtBiHVqslLCwMPz8/SkpK8PT0lNSG09PTCQsLa3ODNycnh+zsbHQ6HTk5Oaxbt87u+crKSrlv7gZCr9dz++23U1payv79+6Vsakd+PzLXNjExMRQXF2M2m9sVp+wKmme8m2uEKBQKoqOj8fb2lipHy8vLJVvJ8vJyiouLpeO1Wi21tbUUFBSg1+ul9aLFYpFEgxMSEkhISGDlypUcP36cSZMmMW7cOLKzs/Hz86NHjx4YDAZSU1MxmUxs2rSp1cCrsLCQ/v37I4oiixYtYtq0aXbPN9dTkrkxGDlyJI2NjezcuVPa8OmO349M+3RbgG61WiktLW3XRsfGL7/8wpIlS/Dw8GDx4sUX/bo2Mbfm1NXVIQgCubm5lJSUUFJSgiAIkkKhQqFApVLRt29f3N3dyc3N5ejRoxw8eBA/Pz+qqqrazPYEBQVx5513UlxcLJXRHTx4kLCwMAoKChBFkYqKCrsAvaqqSvJq1+l07Nu3j+eee65FBt5kMmE0GuVSkxsMtVpNSkoKFouFjRs3YjKZ5O/ADUBhYSFms7nd4MJqtfLpp59KAlm+vr4UFxfj6uraojWiOSkpKaxdu5Zt27axfft2PvroI0JDQ0lMTGTChAnk5eURERFBY2MjoihSXV1NVlYW9fX11NbWEhwcjNlsRhAEVCqVZMFiNptZt24deXl5eHt74+LigtFobFVsTqFQMGLECNRqNbt27aK0tJQePXrQs2dPioqKaGxs5OzZs3YBui3oUiqV6HQ6yb7ob3/7W4vrv/POO3z00Ucd/sxlrn2USiW+vr7cfvvtHDt2jOPHj8stQDcAJpNJSqx0JxqNxs7Nx2q10tDQgNVqlbLcpaWlKJVKyXZSo9Gg0Wjo378/jo6O7N27l6KiIjIzMxkwYAC1tbWttvzcf//9zJo1i5CQEDZu3MjNN9+MWq2mtLSUkydPSoKdubm59OrVC0Cau11dXdHpdDg7O1NWVtaqiHHzXn6ZGwNBENBqtYwcOZLa2lq2bNlyVdgWynRjgG6bsDpKYmIibm5uDB8+HGiaZPLy8vDz87MTd3FycmoxKdfV1bF69Wr69u3LhAkTUKvVpKWlSZOog4MDhw8ftpuMRFGkvLyc/v374+LiYifE5erqiouLCxqNhtmzZ5OYmNgie1ldXc3KlSt58skn8fLy4vjx49LrPfbYY6Snp/Pjjz/Ss2dPOzGlJUuW8MQTT/Dwww+zbNkyhgwZwpw5c9osj5e9rW9cbKXtzW0BZa5fzq/8sWG1Wu2+A2fOnJHaf3x9ffnmm2+k/vHk5GRmzZrFoUOHeP/99/nDH/7ATTfdBMATTzzB4cOHOXnyJO7u7mRmZrJ06VIGDRpEenq6tAkkiiL19fXS4s92487Pz2fgwIEIgoCHh4c0PoVCgY+PD2azmZ9//hmVStWmH7ota+7i4kJFRQWiKFJZWcnq1avx8/MjJiYGX19f6XiTycTvv/+OKIqMGjWKwMBAKioqOHXqFAEBAS1ESOUF541NTEwMkZGR8nx5A3C5lNtbS/I0Z/To0ZSVlbF3715pjevg4MCOHTvs5iOLxYKTkxP9+vXD09PTrj3N29uburo6jEYjc+fOpVevXq22r+l0OjQaDefOncNgMGC1WnFyciI0NBSDwcD8+fNxdnaWLFehSc/os88+4+OPP2by5MkcPnwYf3//rvhoZK4znJ2dufXWW1EoFHKAfhXQbQF6eyXtBw4c4Pvvv+fxxx8nMjKS6OholixZIj2/bt06PvnkE2JiYpgzZ470eGs7pj/88AMrVqxg3bp1DB48GKVSKQXLtiy1beGm0WgIDg4mJycHjUbTQszObDaze/duAJ599lmOHj3Kww8/3KLcft26dfz444+sXbuW5cuXS9d2dnYmNzcXhUJBRUVFCxGb9PR0lEol2dnZQJNNzN13321XDqpQKLBarUyZMkX+0dzgyCKBNw6tzZkGg4G//OUvGAwG4uLiiImJ4f7772f06NEATJ48maeffloqMz979iwAO3bsoKysjJ9++kkK0KuqqqR5sKSkhH/961+EhoZKpaK2ecfd3Z19+/ZJY4iKiiInJwdBEKSNy+YcOnSIkpIS0tPTmTVrFk5OTixdurTV91hQUEBBQQFKpVJaCNsy5LW1taSkpNgdX1tbK30uZrMZBwcHKisrKSkpkeZQGxqNhhUrVnTos5a5fpGD8xuDziSAOkN7Ip3nzp3j1KlTklWuLWNtC871ej0ODg6UlJSgVqvtNhyhqQ0nMzMTs9nMQw89hNls5tVXX6V3794tXsumiRQfH09AQABff/01FouFxx9/HIVCwciRI4mPj7c753//+x+iKEpzuM3zvDVBujfffLNTn43M9Yc8X149dFuA3p44y9KlS8nOzsbFxaXVUkXbhNKRALVPnz6sX7+eESNGYLVa7VQqRVHk9OnTQJOwyJAhQ1AqlXz++ef8/vvv/Pjjj4SFhUnHKxQKNBoNJpOJhIQEjhw5QlBQUKuv+dVXX2EwGDhw4AD33nsvX3/9NUqlksrKSvLy8nj44YdbnHf33Xfj7u4u+Qar1WoaGxvt+iYXLFjAkCFDWky8MjIy1y+enp52vYrQVIlUVVWFKIrs3buXPXv2MG7cOKZOnQogte2EhYXx2GOPSdYo48ePx8XFhUGDBknX8vLy4sUXX6Suro4NGzbQ0NBAcHAwu3fvtisjr6ioQBAEBEGgX79++Pj4UFpayh//+EeeffZZnn32WbsxOjk5IYoiERERiKLYppVbc3Q6nbTZauuDa+285r2etjnSzc2N6dOnS4H7nXfeyeuvv05kZKRspSUjc4MQEBDQqgf55aagoIDKykoAyQHD5jvu7+9Pnz59sFgs7Nmzh8LCQkJCQlo4Z9jKjENDQ8nJyWlV2Dg3N5fZs2dLYp6BgYHodDpUKhXvvvsugiC0uka0KcnbfNVjYmJQKBR2avcTJkygZ8+evPzyy1362cjIyFw83SoBfaFSoSeeeILvv/+eBx54oNXnb7nlFuLj4ztk15aUlER6ejrV1dWSlcX5eHl5SfYWAQEBfPbZZzQ2NrJu3TomTZokHadQKEhNTaWxsRGNRsMf//hHCgsLKSkpsRuLl5cXTk5OGAwGKRs1adIkLBYLGo2GuLg46urq2Lp1K8ePH+e+++4jJCSEfv36ERQUREhICKIo8sEHH/DKK68QHByMSqVCpVJx3333XdAOQUZG5vrDx8enRYDu7u7OnDlz+Oqrr8jIyCAuLs6u7eXcuXMIgkBhYSEpKSk4ODjQ2NiIq6srDz30EJmZmRQWFkol50OHDgVg6tSp1NXV4efnx969e6Xr2RZxtp7JvLw8vLy8+PHHHzl27BgfffRRiwA9Ojqa8PBwsrOz+eGHHwgLC2u31LympobAwEDUajV5eXkoFAoCAwPZsmUL1dXVxMbGEhERgZ+fH3Fxcbi4uCAIAhUVFZw+fdquT3/u3Ln07Nmz8x+4jIzMNUtXOJqcv0ZtK9Ps7OxMQECA1BppwzZfiqKIp6cnNTU1VFVVodFoKCsrQxAEampq7BJWOp2OW265herqaubNm4eLi4tU7t4cs9mMSqVCr9ej0+koLy8nPDyc8vJyIiIiiIyMJC8vj4yMDPR6PYMGDUKtVrNmzRr279/PH/7wB2pra3n66aftgnMPDw+7alUZGZmrg27tQb9QqVCvXr2Ij49n+vTpnD17lqlTp0o7fjYCAwNxdHSkoaGhzYkTmnYxq6ur6dWrF0VFRdKxCQkJGAwG6uvrJSuiEydOEBAQwHfffcfWrVvtlNNPnjxJdnY24eHhlJaW0tDQwIkTJ3jppZcQBIGlS5dKveqffvqplAFasGABoihSXFzMk08+CTSpeKalpbFr1y7mzJnDm2++SXl5Oc7OzkRFRQFNtkD79+/HarWi1+tZvHgxt9xyyyV5yMvIyFx7iKLYpi94dHQ0fn5+HD58uEUgamvpsWWfm2fCd+3axdtvv41KpeLbb7+VqpGcnZ2lfnJHR0fUajUmkwkvLy+CgoIoLy/nzJkzNDY2UlNTQ319PS+88AJms5kHH3xQeu2Ghga2b9+Os7MzWq2WgoICBEGQyuxt42jLp/js2bM4OjpKparbtm2TFqlZWVm4uLjg6+tLeHg40KQ0u337dkRR5M0332Tx4sW88cYbxMbGdvrzlpGRubYpLCy85GuYzWZp/mtrjWnb9NRqtYSEhHD06FHKyspQqVQkJSVRVlYmCcNB07wWHx9PfHw8FosFV1dX6VoHDhygtLSU0NBQzp49i9lspqqqSpoDm49h3rx5GAwGxo0bh4ODA/X19Zw8eVJ6/vTp09Iau7q6mr179zJo0CBGjhzJyJEjgaaKzU2bNkmv7+3t3ap4p4yMzJWnWxpaRVFkw4YN7R534sQJjh8/Tn19PXPnzm3Vw7ahoYFhw4a16XcKTQu3vLw8TCaT1CPp7u5Ojx49iI2NJSoqCrVajaOjo6R0OWbMGN555x07tdeCggJMJhPZ2dmUlZVhsVjYt28fVqsVrVaLs7OzZInRvF/INmH++OOP0gaBRqPBarXi7e2NKIqtlslPnTqVFStWMH78eBYsWMCgQYPk4FxG5gZkz549F/TwfuaZZ/jXv/7FY489Zve4IAgMHDhQcpAwm834+flJHtCiKLaYU2pra6mrq6OsrAyz2Yyvry8qlYqYmBiCgoJITEzE09MTpVJJeHg4Tk5O+Pn58cEHH9iVzFdVVUkVRGfOnJECcVvpuW1srVFWVsasWbMk33UnJye784AW5eo2UTmAW2+9lSVLljBu3DhZp0NG5gajoaGB/fv3d8m1rFYrt9xyS5u9uI2NjZhMJnJzczEajfj4+KBSqQgMDMTf35+EhAR69OiBQqFAr9dLG4o2u8jm81NhYSEGg4GsrCypCqh5L72fn59U7WQTjouOjgZg2bJlzJ07F4PBgFKpxGw2I4qiVEnQmr3k1q1bEUWRm266iREjRvD111+3ascmIyNz5RHaykK3RkpKiti8/LGjbN68uUM+pEajkRdffJGTJ08SGBjIggULUCqVlJWVsXPnToYNG4Zer8fPz4+0tDS+/PJLxo0bR58+fYCmCclsNktWZEajEU9PT7tFZGeoq6sjJydH8vhNS0vjvffeA+C7774jJiaGmJgYyauysrKSSZMmSR7stky4IAh88sknuLu7Y7VaUalUpKamtijJuv/++/npp5+YO3duC39KGRmZ7kEQhH2iKKa0f+SFudj5sqioSFJM//3331m4cCGPPvoo9957b4fOF0WRzZs34+3tTXx8PA4ODlitVkwmEwaDAbVajVKpRBAE/Pz8JI0Om4f5iBEjLmrRZtP3OHbsGCaTyS5brlar0Wg0DBkyRLIKbM4PP/zA4sWL0el0LF++HIVCgSiKUrZq0KBBdkrxgHRf0Gq1pKamyoG5jMwV4krOmVarlTVr1lySSJytWjI1NRW1Wo23t3erqvBeXl6UlZUhiiI6nY76+nqioqKIiYm5qNctLy8nJyenRRumIAgolUp69eqFVqtlx44dds/X19czfvx4lEol//jHP+jXrx+CIEjZ/+DgYHr16tViTrRl6jds2CA5JMnIyHQvHZ0vL3uJ+6FDhzoUnBcUFJCVlcV7772HSqWym1jmz5/PwYMHOX36NHPmzGHlypX89ttvHDx4kLq6Ovr06YNSqWTw4MH89ttvAFJppM0b+GJwcnKS7Crq6+tJTEzE2dmZiIgI1Go1+fn5diWmbm5ufPXVV/z0008sW7YMd3d3qqqqUCqVnDt3DhcXF2ls6enp9OvXz+71li9fzunTp6UdVxkZmRuL2tpaKTiHJpcHo9HIvn377AJ0k8nE1q1biY6OblGNs3//fj788ENEUWTPnj1oNBqpjLG5fWT//v3t7BwtFguCILTruNEWgiAQGhqKg4MDp0+fxmQyUV9fj8lkkv6rqqrCw8ODoqIijEajVI00YsQIMjMzpc1U22LbNn/v2rWL4cOH220ceHp6SgtqOTiXkbnxEEWRTZs2XbKC+4wZM6irq8PNzY0nn3ySrKysFse4uLhI7Y6A1Gp5oUqn9vDw8ECn0yEIAmazWWojEkURs9nM2bNnW6wToSkZ9cgjj3Du3Dk7v3PbujcvLw+dTkdkZKTdeUeOHKGioqLVCk4ZGZmri8saoBsMBkkxvT1ee+01ioqKWL58ObNmzbLzze3bty9Hjx4lNjaWd955R7Ixc3R0lEo8Q0ND0Wq1xMbGcvbsWWpqavD29iY5OfmS3oNCoSAxMZE1a9bg4uLCpk2bKCgowGKxYDQaqa+vJyIiQlroarVaKXsUHR3NvffeS11dnVSWZKOoqEgS/bChUqla2LDJyJyP1WqluroaV1dXOTC5zjg/e/TUU08RGxvbojR87dq1fP755ygUCiZNmsRtt90mPRccHCyJGOXn57f6HdFqtXh4eKDRaMjMzKSqqgpBEOjdu3e7jhvt4e/vT1VVFSdOnMDBwQG9Xk91dTXQ1I8ZFRXFqVOnmDhxIkajkU8++QQvLy9mzJjR4lqiKJKTk0NgYCCFhYUt5kdHR8dLGqvMjUFtbS1qtVpW9b/OKC0tvaQA2UZycjL79u3D09OT3NzcVgP+mJgYPD09CQkJoaysjLq6OkJDQy9ZkFKr1RIfH8+GDRsQBIHg4GDy8/MRRZGSkhKMRiMeHh52YnRAq65AzTlz5gwRERF287+Tk5Nc0i7TLtXV1eTl5UkJSpkrw2UN0G1ljeerUZ6PzR6iqKiIc+fOsXXrVh544AHc3d2pqKhg7NixjB07Fmgq+bR5/BqNRqm0qKqqCkDaMTx27Bj19fVddkOOj4+nsLAQlUqFu7u7tIu6cePGFsc+8sgjDBgwgNDQ0BYewc3JzMyUethlZDpCVVUVjz76KCEhIUyePFm23rvO8PX1lWzGoMlDd8yYMS2Os/Uyms1mvv76aylAV6lU+Pj4tOk7bqOxsRGz2Yyrqyt9+vTht99+k7QyuoKQkBBqa2ulPkhbgH7u3DkOHjzI9u3bJcu05tZp57NmzRo+++wzIiIieP/99wkLC0Oh6BbpFJnrhKNHj5KTk4NKpeKWW26Rvz/XER3doGvLQcjX15eioiJefPFF6bG2qi6rq6vx8/MjMTGRXbt2SdVBXeEbrdVqiYyMpL6+XtpIMhgMiKLI2rVrSUtLIygoyM4CuD3q6uo4e/asnC2X6RS1tbUkJSVx9uxZli1b1qazlszl57IG6EqlkptvvhlRFPn1118veNzzzz9Pv3792L59O6NHj5asydLS0uyOTU1NZeTIkWRkZODt7c3IkSNpaGjA19dXOiYsLEzKEHUVwcHBNDQ0kJ2dDTRN+BqNhvr6epYtW0ZeXh7PPfccOp1Oyp63R0VFBVu2bEGr1SKKIklJSXYlqDIy5/PnP/+ZX375BaCFvZXMtU/Pnj2JjaC37fkAABFjSURBVI0lIyODM2fOtHlcSkoKixYtYtGiRZLbRe/evTly5Eirxzs6OiKKIsHBwej1ertsooODA4MGDcJsNl9y9tyGTqcjKSmJtWvXAv/P67exsZHXXnuNvLw8kpOTefLJJyVBu9ZwcHBAFEVpXty/fz8GgwFBEAgLCyMgIKBLxitzfWIymRg/fjzl5eWSfozM9YOzszNjxoyhtraWzZs3t3mcVqu12/iEphaZgICAVm14befodDpiYmKora21C3STk5MpLi62q/S8FARBIDY2lu3bt1NQUIBCoZCqKzdt2sQHH3yAQqFgxYoVnaqaKy4uJjs7myVLlmCxWFi0aFGXbcLKXJ/06NFDqtaQvytXlsvegy4IAoIgSGI/rWHb2Rw6dKjky7tv3z4mT57M3XffzahRo+yO1+l0/OMf/2hzolIqlZdl19DWQ24bs4ODAyqViuXLl6NUKjl48GCnBOlsvfm27FJhYSGhoaFdOmaZ6wdbv50N2U7q+kQQBLu5pjVMJhOenp5MmTIFs9mMwWDgvvvuw9fXl4kTJ7aYG/v373/Ba3blZqYNlUolCcUZjUYEQSAwMFCa70tKStrV20hNTSUhIUFy7WhupdTY2CgH6DIXZNmyZRw6dAiAdevW8dBDD13hEcl0NR2p/GmtDL6srIyysrJWjw8ICJDEh6EpmG+Og4PDBTcWLxa9Xk95eTlWqxWr1YqPjw+hoaEolUqioqI63dJWUFBAYWEhS5cuRaFQMGXKFPr379/l45a5PsjPz7drpbjnnnuu4Ghkus0HfcCAAWzZsqXDx69cuZITJ07wwQcf4OvrS1xcnPScwWCgpqYGZ2dn0tLSMBqNDB069LL3l/n7+9OvXz+sVit1dXVUVFRIZU81NTUtBDk6i7zYlLkQoijy2GOPMW/ePGJiYuRSzeuYsLAwzpw506bAZmNjI42NjUycOBGDwcAzzzzD3r17sVqtPPjgg3ZeuwC5ubkkJSVx8uRJsrKySEhIuCwLzOYIgsCIESMoLS1FEAQsFgtffvkl0dHR+Pr6Mn78+A5dx8fHp9XHO1PuKXNj0rNnT0JDQ6mpqWHSpElXejgylwkHBwcSExPJyMho9fnOisgVFBTQu3dvDAYDaWlpODo6Mnjw4Muu+RIfH4+bmxtqtZqamhpOnz5NUFAQK1asuOhr+vr6Mm7cOAC7TQcZmfNpvt6Q9TquPN22wtfr9SQnJ7dYODZHFEUOHjxIRUUFEyZMkOyAALZt28Zjjz3Gpk2b8PPzw9nZGbPZTHV1NQaDoUuEQtojNzdX8ieOjIzEarVSW1tLUVERjY2NFBcXt/u+LoRcTiJzIRQKBTNnzqS0tJTMzMwrPRyZy4ggCKSkpBAQENDmotBqtdLY2CiVrt9+++089thjLeZYFxcXQkJCgKaSR4vF0uZc1ZU0NDSwdetWSeTNz8+P2bNns2nTJtLT09tcTHcUvV7fRSOVuV5JSUlh9+7dFBYWMmDAgCs9HJnLSFBQENHR0ZcsgqbRaCRxtdraWoxGI5WVlZJl5OXkwIEDHDx4EKVSSWRkZKt9851FEAQef/xxnnrqqRbWvjIyzenZsyf79+/n6NGjl+SAJdM1dOuvNSgo6IJ9lb/99hsLFy7Ey8uLzz//nCVLllBbW4ufnx9vv/02FRUV7NixQ+ol02g09O/fH5PJ1GW9k+eTk5PDzJkz6du3r6RomJubi7+/P/7+/pSUlPDyyy9TXV1tl+U3mUy88sormM1mbrrpJv7zn/9I76s1kpKSLsv4Za4vdDqdJLwlc33j5OREREQEBQUF0mN5eXlUVFSQlJSEo6MjCxcuxGAwEBIS0qbuxcCBA6Xd8KSkJM6dO3fZqnVEUeTYsWPk5eVhsVgk//WCggJcXFyIiori2LFjAHYWbwCrVq3i22+/5bnnniMl5cIWoVqttkXZqYzM+SiVSry9va/0MGS6AYVCQXR0tGQpebF4eXlJyuxeXl4kJiai1WovW3BbVlbG0aNHqaysRK1WI4oiWVlZ9O3bl4CAgA47IbWHTatERuZC9O7d+0oPQeb/p9trZGNjY9tUvfT09MRqtUo3VGdnZ0mE46mnnmLSpEksWrTI7hxvb+8LZpkulddee42lS5eycOFCqZ++sbGRXbt2SRmgQYMGtej7LCsrIzs7W7pZNH9f5xMWFnbZy01lZGSuPVxcXKTNR6PRyPPPP8/MmTOlvlofHx8pO34+tr7F5qVqWq2WsLCwy1a+VlVVRU5OjuRxbusdz8zMZOvWrTz33HN4enoyYMAAXnrpJbtzN27cSGVlJdu3bwearCht7hzNEQSB1NTUyzJ+GRmZa5vmiZLO4u7ubueMIggCQUFBeHl5dcXQWuXgwYNUVlYC/68qqLKyks2bN0vBuW0cF0tKSopsryYjc43R7fUu7u7uhIWFceLECaApcP3iiy/Ys2cPwcHBLF26FGdn5xbneXt78/LLL9OjR49uHe+kSZPIyMhg8uTJDBgwgJKSEs6ePduiXN3JyUnKbNbX1+Pn58fzzz+P2Wxm9OjRjBo1qk2F9s72R8nIyNwYKBQK+vfvz7p161AqlXh5eVFSUsKKFSvw8PAgMDCwzXMdHBwkG8ruwsXFBS8vLywWC+Hh4Tg7O3P48GFJCDM4OJjFixej0WgICgoiLy8PtVpNQ0MDzz//PGlpadxyyy3k5uYyffp0NBoNS5YssWv/EUVR1l+QkZFpleDgYKnSqLPEx8d3e+9tREQEJ0+exN/fn9DQUI4fP05lZaUUtEPTnOfp6UlRURHOzs6dfm+iKHb1sGVkZC4zV6QhJSoqSgrQ8/Ly+N///ocoihQWFlJWVtZmb+GVyDIPHz5cylZBUyAuCEKLCdJmudackSNHSn++UFmyLHYkIyPTFhqNhuDgYM6cOcPs2bOZNm0a6enp/PTTT0yePLnN89pTSL8cKJXKFr2+/fr1Y+3atQiCIC0U1Wo1VVVVFBQUcPz4cfr27UtQUBB9+/ZlypQpUhbLVrXUHH9//+55MzIyMtckSUlJdo4nHcHJyemytUpeiB49etglnhISEkhPT7cL0G2YzeaL2njoKjs4GRmZ7uOKBOg2n/Ds7GxcXV2lvpuxY8e2mSGPi4u7arImISEhqNVqdDodxcXFuLu7d1pAxNfXF7PZjJeXV6sVAzIyMjI2EhMTOXPmDB9++KG0cLuQJaODg8NlsZq8GJRKJUOGDKGxsRGj0YjRaMTPz4+wsDBKSkoQBIGbbrqJKVOmkJmZSU1NDUeOHOGzzz5Dq9WiVqtxc3PD0dERq9VqV4IqIyMjcz7Ozs44OTlRV1fX4XMSExMv44g6R0JCAj4+PtIaMyAggDNnznQ4E+7g4ICnpyeNjY2EhoZedvV5GRmZrueKSTraxI9OnjyJ1WrFYrGwZcsWkpOTW0yUzs7OVyQb1BaCIEgiS7Yd17y8PLtjNBoNRqMRhUIhlbAnJSURGBjYalZIRkZGpi0EQSA2NpY+ffqQkZGBKIp89913nDp1qtUs+pAhQ64qxd7zleXr6uqora1FEASsVithYWEIgsCtt94KNG3IRkVFMWjQIARBuGo2Z2VkZK4NBg4cyObNmzukhB4aGnpViU6q1Wqpfcmm42E0GlscYzKZpMokQRAYNmwYzs7O8nwpI3MdIHSmNyUlJUXcu3dvlw5g3759/O9//+OLL74gPz+fUaNGMW3aNKBJNC4+Ph4XF5erPqAVRZGKigoEQUCtVttlxW0bEGq1+gqOUEZGpiMIgrBPFMULy4h3gMsxX1ZWVrJy5Up++OEH1q1bh9Vq5ccff5SEN4cNG4ZOp7sm5ppTp05RXl5OYGAgPj4+dnO80WhErVZf9fO+jIzM1T1nrlu3rkVwayM2NhZ/f/9rQkDNYrFQUVGBQqHAycnJrlfeVsHZlgCzjIzM1UNH58srnmLp27cv0BSM//bbb4wdOxZoyhj16dOn2wU7LhZBEPDw8Gj1OYXi/2vvblqiasMAjl82ioI1DcRDCZETijT0QlALiYKEXuiVIGjROqJN36Ftm/wEte4DRFBELxK5atMuWwlRmQSz0CiF8VmEQ2bG9ETPucb5/VZ6RuRaHc7/nPvcs8EdTeCPVSqVuHTpUmzZsiXK5XJUq9XmRVmtVlv1pDqzarW65jL97zeFA/ivjh8/Hk+ePFm1R1Bvb2/z+87bwfImoWt9BqwvhQd6xLdIf//+fVy9erV57MiRI20T5wD/l3K5HPv371/xlHzz5s0xNDRU4FQA+Swv/X7w4MGK42NjY20T50DnSflYd9OmTWvu5A7Q6ebm5lb8fujQoYImAcjtx018R0ZGUu3RAfCjNIH+/c68Bw/+8atMAOvWyMhI87WZHTt2WOIIsIa+vr7m1zN2d3fH8PBwwRMB/FqaW4g7d+5svo9o2RHA2np7e+P06dPN3XsBWNuBAwecL4G2kSbQI4Q5wO9wzgRojfMl0C7SLHEHAACATibQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQQHfRA8Df9Pz586jX6xERcebMmejq6ip4IoC87t27FxER/f39MTY2VvA0AHndv38/Go1GREScPXu24GlYTwQ669pynEdEfP78Ofr7+wucht+1HAtHjx6NjRs3FjwNdI75+fmiR+A3TU1NxdTUVAwODsbevXuLHgfWveU4p/0sLCzEo0ePolQqxbFjx6JUKhU90gqWuLOuHT58OCIiNmzYIM7bwMLCQrx9+za+fv0a1Wo1zp07F1euXInJycmiR4OOsHyRMjo6WvAktGJmZibq9Xrcvn07rl27Fm/evInp6emix4KOMDQ0FBHh+rJNzM/Px7t376Jer8fDhw+j0WjE4uJivH79uujRVvEEnXWtUqlYdtRGXr16FR8+fIi7d+82LzJnZ2djYGCg4MmgM5w6daroEWjRp0+f4uXLl9FoNOLOnTvx4sWLmJmZiZs3bxY9GnSEWq0WtVqt6DFo0eTkZHz58mXV8e3btxcwza8JdCCNubm5uHXrVjx79iwivq18uHHjRuzZs6fgyQBy6evray6xPX/+fHz8+DEuXrzopjTAT/wszoeHh6NcLhcwza8JdCCNiYmJmJiYiEajEaOjo3H9+vW4fPly0WMBpLO4uNj8effu3TE+Pm5jP4AWbdu2LXbt2lX0GD8l0IE0Lly4EI8fP46BgYEYHx+PrVu3Fj0SQErfv/daKpXixIkT6TY6AsiiUqk0N48+efJk9PT0FDzR2gQ6kMa+ffvi6dOnRY8BkF5PT4/l7AAtWt44uh3YxR0AAAASEOgAAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQgEAHAACABAQ6AAAAJNC1tLTU+h93dc1GxPTfGwegcINLS0v//Ok/cb4EOoRzJkBrWjpf/lagAwAAAH+HJe4AAACQgEAHAACABAQ6AAAAJCDQAQAAIAGBDgAAAAkIdAAAAEhAoAMAAEACAh0AAAASEOgAAACQwL/oOgOgPUHalwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1008x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "doub_scores = {'Scrublet (z-score)': scrublet_results_zNorm['doublet_scores_observed_cells'], \n",
    "               'Scrublet (log)': scrublet_results_logNorm['doublet_scores_observed_cells']\n",
    "              }\n",
    "\n",
    "doub_calls = {'Demuxlet': demuxlet_calls,\n",
    "              'Scrublet (z-score)': scrublet_results_zNorm['doublet_scores_observed_cells'] > score_threshold_zNorm, \n",
    "              'Scrublet (log)': scrublet_results_logNorm['doublet_scores_observed_cells'] > score_threshold_logNorm,\n",
    "              }\n",
    "\n",
    "\n",
    "\n",
    "x = embedding_logNorm[:,0]\n",
    "y = embedding_logNorm[:,1]\n",
    "\n",
    "fig, axs = plt.subplots(1, 3, figsize = (14, 5))\n",
    "for iMethod, method in enumerate(doub_calls):\n",
    "    coldat = doub_calls[method]\n",
    "    o = np.argsort(coldat)\n",
    "    #o = np.arange(len(coldat))\n",
    "\n",
    "    ax = axs[iMethod]\n",
    "    ax.scatter(x[o], y[o], c = coldat[o], cmap=scr.custom_cmap([[.7,.7,.7], [0,0,0]]), s = 2)\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "    ax.set_title(method)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute some metrics to compare predictions to ground truth.  \n",
    "For this dataset, log normalization improves recall without hurting precision."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Method                Recall   Precision   ROC\n",
      "Scrublet (z-score)    0.479    0.634       0.876\n",
      "Scrublet (log)        0.765    0.652       0.933\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import roc_auc_score\n",
    "\n",
    "print('{:20s}  Recall   Precision   ROC'.format('Method'))\n",
    "for method in doub_scores:\n",
    "    recall = sum(doub_calls['Demuxlet'] & doub_calls[method]) / sum(doub_calls['Demuxlet'])\n",
    "    precision = sum(doub_calls['Demuxlet'] & doub_calls[method]) / sum(doub_calls[method])\n",
    "    roc = roc_auc_score(doub_calls['Demuxlet'], doub_scores[method])\n",
    "    print('{:20s}  {:.3f}    {:.3f}       {:.3f}'.format(method, recall, precision, roc))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
